Question

Can someone please help me with this problem thank you.

Answer 1

`BM = 14`

Explanation:

Given

The attached triangles

Required

Find BM

We have that:

ABC is similar to JHG

This implies that:

AB corresponds to JH

BC corresponds to HG

AC corresponds to JG

BM corresponds to HN

Hence, HN can be solved using the following equivalent ratios

`AB : BM = JH:HN`

From the attachment;

`AB = 21; JH = 24`

So, we have:

`21 : BM = 24:16`

Express as fraction

`(21 )/( BM )= (24)/(16)`

Cross multiply

`BM * 24 = 21 * 16`

`BM * 24 = 336`

Solve for BM

`BM = 336/24`

`BM = 14`