Question

Help please !!

triangle GHI is similar to triangle JKL. If IH=36, KP=18, and LK=24, then MH= ____.

a. 12
b. 20
c. 27
d. 48

Answer 1

The correct answer option is C. 27.

Explanation:

We are given two triangles, GHI and JKL, which are similar to each other.

Given that IH = 36, KP = 18 and LK = 24, we are to find the length of MH.

Since the two triangles are similar, so we will find the ratio of the given corresponding sides.

`\frac {JKL} {GHI} = \frac {24} {36} = \frac {2} {3}`

Now that we know the ratio, we can find the length of MH:

`\frac{2} {3} = \frac {18} {MH}`

`MH = 27`

Answer 2

`MH=27`

Explanation:

Since the two triangles are similar;

`(MH)/(KP)=(IH)/(LK)`

This implies that;

`(MH)/(18)=(36)/(24)`

Multiply both sides by 18

`\Rightarrow MH=(36)/(24)* 18`

`\Rightarrow MH=27`