Question

HELP!!!!!!!!!!!!!!!!!!!!!!

Answer 1

7.56cm

Explanation:

It was given that: a=12cm , <B=36° and <C=75°.

We want to find the length of side b.

The sum of interior angles of a triangle is 180°.

This implies that:

<A=180°-75°-36°=69°

Using the sine rule;

`(b)/(\sin B)= (a)/(\sin A)`

`(b)/( \sin36)= (12)/(\sin 69)`

We solve for b,

`b= (12)/(\sin 69) * \sin36`

`b = 7.56cm`