Question

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

Answer 1

Answer: D 27

Explanation:

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Answer 2

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.