Respuesta :

kudzordzifrancis

Answer:

[tex]MH=27[/tex]

Step-by-step explanation:

Since the two triangles are similar;

[tex]\frac{MH}{KP}=\frac{IH}{LK}[/tex]

This implies that;

[tex]\frac{MH}{18}=\frac{36}{24}[/tex]

Multiply both sides by 18

[tex]\Rightarrow MH=\frac{36}{24}\times 18[/tex]

[tex]\Rightarrow MH=27[/tex]

alinakincsem

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.

[tex] \frac {JKL} {GHI} = \frac {24} {36} = \frac {2} {3} [/tex]

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

[tex] \frac{2} {3} = \frac {18} {MH} [/tex]

[tex]MH = 27[/tex]