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!