Question

Solve the triangle. B = 36°, a = 41, c = 20

Answer 1

C = 82.8°

b = 27.5

Here's the working in case you need to see it.

Using Law of Cosines to first find b:

b² = a² + c² - 2acCOS(B)

b² = (41)² + (20)² - 2(41)(20)COS(36)

b = about 27.5

Now using Law of Sines to find A

sin(36) / (27.5 = sin(A) / (41)

sin(A) = 41sin36 / 27.5

sin(A) = 0.876334376145

A = SinInverse(0.876334376145)

A = about 61.2°

Now using 180-61.2-36 to find B = 82.8°

Have a good day!