Given the sides  a= 10,b= 10 and angle

Answered question

2022-06-20

Given the sides  a= 10,b= 10 and angle A= 100° .Find the corresponding value for angle B 

Answer & Explanation

star233

star233

Skilled2023-05-21Added 403 answers

To find the corresponding value for angle B, we can use the law of sines. According to the law of sines, the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles of a triangle.
The law of sines states:
asin(A)=bsin(B)=csin(C)
Given that a=10, b=10, and A=100°, we can substitute these values into the law of sines:
10sin(100°)=10sin(B)
To find the value of angle B, we can rearrange the equation:
sin(B)=10sin(100°)
Taking the inverse sine (also known as arcsine) of both sides, we have:
B=arcsin(10sin(100°))
Thus, the corresponding value for angle B is B=arcsin(10sin(100°)).

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