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

Answer:

$MH=27$

Step-by-step explanation:

Since the two triangles are similar;

$\frac{MH}{KP}=\frac{IH}{LK}$

This implies that;

$\frac{MH}{18}=\frac{36}{24}$

Multiply both sides by 18

$\Rightarrow MH=\frac{36}{24}\times 18$

$\Rightarrow MH=27$

Answer 2

Answer:

The correct answer option is C. 27.

Step-by-step 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:

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

$MH = 27$