Question

Solve the triangle.

A = 51°, b = 14, c = 6

Answer 1

You should be able to use SOH-CAH-TOA to solve this. You are given two sides and an angle.

Answer 2

to solve a triangle means, to find all the angles and all the sides.
for this, we have the two rules:
1) sine rule -> use this if you have one side and the angle opposite to it
2) cosine rule -> otherwise.

in the given problem, we have the angle "A" but not the side opposite to it.
so, we first find that side "a" by using the cosine rule.
what is the cosine rule for angle A?