In the figure below, triangle GHI is similar to triangle MHL. What is the distance between M and H? A. 12 B. 16 C. 24 D. 27

Question

asked Nov 27, 2018 213k views

2 Answers

Cory McCarty · Answer 1 · 2018-12-04T02:43:03+0000

Answer: The answer is (D) 27.

Step-by-step explanation: Given that in the figure, triangles GHI and MHL are similar to each other. We are to find the value of 'x'.

Also, given that

GH = 18, HI = 16, HL = 24 and HM =x.

Since the given triangles are similar, so their corresponding sides are proportional.

That is,

(GH)/(HM)=(HI)/(HL)=(GI)/(ML).

So, we have

$(18)/(x)=(16)/(24)\\\\\Rightarrow x=(18* 24)/(16)\\\\\Rightarrow x=27.$ .

Thus, the value of 'x' is 27.