Question

How do you solve the triangle given m∠B = 84°, a = 18, b = 9?

Answer 1

With given measurements, we cannot form a triangle.

Explanation:

`sin A = (a sin B) / b = (18 sin 84) / 9 = 1.989`

`hat A` must have a value more than `84^@` as longer side will have a greater angle opposite to it.

But sum of the three angles can’t have a value more than `180^@`

Also `sin theta` can’t have a value more than 1.

Hence with given measurements, we cannot form a triangle.