Question

Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.

Answer 1

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77