Answer:

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

From the attachment;

So, we have:

Express as fraction

Cross multiply


Solve for BM

