Cách tìm góc trong C++

Chà, thật hữu ích khi biết đó là Định lý Pythagoras với một cái gì đó bổ sung để nó hoạt động cho mọi tam giác

Định lý Py-ta-go
(chỉ dành cho Tam giác vuông) a2 + b2 = c2

Định luật Côsin
(cho mọi tam giác)a2 + b2 − 2ab cos(C) = c2

Vì vậy, để ghi nhớ nó

• nghĩ "abc". a2 + b2 = c2,
• sau đó là "abc" thứ 2. 2ab cos(C),
• và đặt chúng lại với nhau. a2 + b2 − 2ab cos(C) = c2

Khi nào nên sử dụng

Luật Cosines rất hữu ích cho việc tìm kiếm

• cạnh thứ ba của tam giác khi biết hai cạnh và góc xen giữa (như ví dụ trên)
• các góc của tam giác khi biết cả ba cạnh (như ví dụ sau)

Thí dụ. Góc "C" là gì. ?

Cạnh có độ dài "8" đối diện với góc C nên nó là cạnh c. Hai cạnh còn lại là a và b

Bây giờ chúng ta hãy đưa những gì chúng ta biết vào Định luật Cosines

Bắt đầu với. c2 = a2 + b2 − 2ab cos(C)

Điền vào a, b và c. 82 = 92 + 52 − 2 × 9 × 5 × cos(C)

Tính toán. 64 = 81 + 25 − 90 × cos(C)

Bây giờ chúng ta sử dụng các kỹ năng đại số của mình để sắp xếp lại và giải quyết

Trừ 25 từ cả hai vế. 39 = 81 − 90 × cos(C)

Trừ 81 từ cả hai phía. −42 = −90 × cos(C)

đổi bên. −90 × cos(C) = −42

Chia cả hai vế cho −90. cos(C) = 42/90

nghịch đảo cosin. C = cos−1(42/90)

Máy tính. C = 62. 2° (đến 1 chữ số thập phân)

Ở Các Hình Thức Khác

Phiên bản dễ dàng hơn cho các góc

Chúng ta vừa xem cách tìm một góc khi biết ba cạnh. Phải mất khá nhiều bước, do đó, việc sử dụng công thức "trực tiếp" sẽ dễ dàng hơn (chỉ là sự sắp xếp lại của công thức c2 = a2 + b2 − 2ab cos(C)). Nó có thể ở một trong hai dạng này

cos(C) = a2 + b2 − c2 2ab

cos(A) = b2 + c2 − a2 2bc

cos(B) = c2 + a2 − b2 2ca

Thí dụ. Tìm Góc "C" Sử Dụng Định Luật Côsin (phiên bản góc)

Trong tam giác này, chúng ta biết ba cạnh

Sử dụng Định luật Côsin (phiên bản góc) để tìm góc C

= 57. 9° đến một chữ số thập phân

Phiên bản cho a, b và c

Ngoài ra, chúng ta có thể viết lại công thức c2 = a2 + b2 − 2ab cos(C) thành dạng a2= và b2=

Đây là cả ba

a2 = b2 + c2 − 2bc cos(A)

b2 = a2 + c2 − 2ac cos(B)

c2 = a2 + b2 − 2ab cos(C)

Nhưng việc nhớ dạng "c2=" và thay đổi các chữ cái khi cần thiết sẽ dễ dàng hơn

Như trong ví dụ này

Thí dụ. Tìm khoảng cách "z"

Các chữ cái là khác nhau. Nhưng điều đó không quan trọng. Chúng ta có thể dễ dàng thay thế x cho a, y cho b và z cho c

Bắt đầu với. c2 = a2 + b2 − 2ab cos(C)

x cho a, y cho b và z cho cz2 = x2 + y2 − 2xy cos(Z)

Đặt trong các giá trị chúng ta biết. z2 = 9. 42 + 6. 52 − 2×9. 4x6. 5×cos(131º)

Tính toán. z2 = 88. 36 + 42. 25 − 122. 2 × (−0. 656. )

z = √210. 78. = 14. 5 đến 1 chữ số thập phân

Câu trả lời. z = 14. 5

Bạn có nhận thấy rằng cos(131º) là số âm và điều này thay đổi dấu cuối cùng trong phép tính thành + (cộng) không?

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

7_______0_______6_______0_______9_______0_______6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

1

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

5

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

9

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

2

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

4

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

5

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

 

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

8

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6_______0_______9

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

alpha : 90
beta : 45
gamma : 45

2

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9_______0_______6

alpha : 90
beta : 45
gamma : 45

6

alpha : 90
beta : 45
gamma : 45

7

alpha : 90
beta : 45
gamma : 45

8

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9_______0_______6// Code to find all three angles2

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// Code to find all three angles5

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // Code to find all three angles8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // of a triangle given coordinate1

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // of a triangle given coordinate4

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 // of a triangle given coordinate9// of all three vertices0// of all three vertices1

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 // of all three vertices4// of all three vertices0// of all three vertices6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 // of all three vertices9// of all three vertices0#include 1

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7#include 3

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 #include 6#include 7#include 8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 #include // for pair1#include 7#include // for pair3

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8 #include // for pair6#include 7#include // for pair8

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

00

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

02

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

04

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

06

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

08

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

10_______0_______11

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

12

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

10_______0_______15

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

16

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

10_______0_______19

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

20

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

 

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

22

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

24

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

alpha : 90
beta : 45
gamma : 45

8

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6_______0_______9

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

31

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

alpha : 90
beta : 45
gamma : 45

8

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6_______0_______9

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

37

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

alpha : 90
beta : 45
gamma : 45

8

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6_______0_______9

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

43

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

45

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

4

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

48

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

Java

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

50

// of a triangle given coordinate

// of all three vertices

 

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

53

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

54

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

53

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

57

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

53

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

60

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

53

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

63

 

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

64

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

65

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

5

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

72

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

77

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

80

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

4

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

5

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

90

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

91______0_______92

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// Code to find all three angles5

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // Code to find all three angles8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // of a triangle given coordinate1

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

6 // of a triangle given coordinate4

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

11// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

13

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

16// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

18

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

21// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

23

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7#include 3

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

29// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

31

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

32

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

33

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

36// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

38

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

32

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

40

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

43// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

45

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

32

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

47

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

00

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

29// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

54

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

55

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

56

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

36// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

60

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

55

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

56

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

43// of a triangle given coordinate8

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

66

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

55

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

56

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

08

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

73_______0_______11

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

75

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

73_______5_______78

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

79

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

73_______0_______19

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

83

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

88

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

90

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

56

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

93

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

6

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

97

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

98

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

99

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

03

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

05

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

98

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

99

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

10

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

03

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

13_______5_______98

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

99

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

10

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

9

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

03

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

20

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

75

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

45

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

6

Python3

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

26

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

27

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

28

c^2 = a^2 + b^2 - 2(a)(b)(cos beta)

53

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

30

 

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

31

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

32

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

33

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

35

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

37

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

39

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

40

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

41

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

00

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

39

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

45_______16_______36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

37

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

10

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

39

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

40

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

41

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

10

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

39

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

4

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

35

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

35

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

59

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

45

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

45

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

32

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

65

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

68

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

70

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

72

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

74

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

76

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

78

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

80

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

82

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

84

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

86

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

88

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

90

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

92

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

94

 

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

96

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

98

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

alpha : 90
beta : 45
gamma : 45

00

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

59

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

78

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

40

alpha : 90
beta : 45
gamma : 45

04

alpha : 90
beta : 45
gamma : 45

05

alpha : 90
beta : 45
gamma : 45

06

alpha : 90
beta : 45
gamma : 45

07

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

32

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

88

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

alpha : 90
beta : 45
gamma : 45

12

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

alpha : 90
beta : 45
gamma : 45

14_______16_______36

alpha : 90
beta : 45
gamma : 45

16

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

59

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

78

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

40

alpha : 90
beta : 45
gamma : 45

20

alpha : 90
beta : 45
gamma : 45

05

alpha : 90
beta : 45
gamma : 45

06

alpha : 90
beta : 45
gamma : 45

07

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

32

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

84

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

57

alpha : 90
beta : 45
gamma : 45

12

beta = acos( ( a^2 + b^2 - c^2 ) / (2ab) )

7

alpha : 90
beta : 45
gamma : 45

30

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

36

alpha : 90
beta : 45
gamma : 45

16

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

59

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

74

First, calculate the length of all the sides. 
Then apply above formula to get all angles in 
radian. Then convert angles from radian into 
degrees.

40

alpha : 90
beta : 45
gamma : 45

36

alpha : 90
beta : 45
gamma : 45

05

Làm thế nào để viết góc trong lập trình C?

Làm thế nào để tìm các cạnh của tam giác trong C?