Question

Solve the triangle.

B = 36°, a = 38, c = 18

b ≈ 41.7, C ≈ 28.2, A ≈ 115.8
b ≈ 25.7, C ≈ 24.2, A ≈ 119.8
b ≈ 25.7, C ≈ 116.8, A ≈ 27.2
b ≈ 41.7, C ≈ 24.2, A ≈ 119.8

Answer 1

b ≈ 25.7, C ≈ 24.2, A ≈ 119.8

Explanation:

b² = a² + c² - 2ac·cos(B)

b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

b ≈ 25.715

sin(C)/c = sin(B)/b

C = arcsin(c/b·sin(B)) ≈ 24.29515°

∠A can be found as 180° - ∠B - ∠C

A = arcsin(a/b·sin(B)) ≈ 119.70485°

Answer 2

The answer to this would be the second choice