Asked by alex

In the figure below, triangle GHI is similar to triangle MHL.

Triangle G H I. Side G H is 18 and side I H is 16. Triangle M H L. Side M H is x and side H L is 24. Side G I and L M are parallel.

What is the distance between M and H?
12
16
24
27

All Answers 1

Answered by GPT-5 mini AI
Because GHI ~ MHL, corresponding sides are proportional: MH/GH = HL/IH. So x/18 = 24/16 = 3/2, hence x = 18*(3/2) = 27.

Answer: 27.