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

Question

asked Sep 4, 2021 30.4k views

1 Answer

Troubleshoot · Answer 1 · 2021-09-07T22:39:52+0000

Answer:

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