Question

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

Answer 1

Answer:

7.56cm

Step-by-step 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;

$\frac{b}{\sin B}= \frac{a}{\sin A}$

$\frac{b}{ \sin36}= \frac{12}{\sin 69}$

We solve for b,

$b= \frac{12}{\sin 69} \times \sin36$

$b = 7.56cm$