Use law of sines to find the other two angle measurements as well as the 3rd side.

Question

side a: 3.5 inches

side b: 3.5 inches

side c: ?

< A: 22 degrees

< B: ?

< C: ?

Answer 1

Since a = b, then also

<A = <B = 22°

Since the angles in a triangle add up to 180°,

<C = 180° - 22° - 22° = 136°

We can calculate the length of c by using the law of sines:

c = a×sin(<C)/sin(<A) = 3.5×sin(136°)/sin(22°) = 6.5 (approximately)