Solve the triangle

Question

A = 50°, B=59°, b=8

 

Find C, a, and c.

Answer 1

C = 180° - (A + B) = 180° - (50 + 59)° = 71°

 

Use the law of sines.

 

b/sinB = c/sinC

 

c = (b/sinB)sinC = (8/sin59°)sin71° ≅ 8.825

 

a/sinA = b/sinB

 

a = (b/sinB)sinA = (8/sin59º)sin50° ≅ 7.150