Triangle ABC is similar to Triangle FGH. What is the value of x in centimeters?

Given:

Given that the triangle ABC is similar to triangle FGH.

We need to determine the value of x.

Value of x:

Since, the triangles are similar, then their sides are proportional.

Thus, we have;

Let us consider the proportion to determine the value of x.

Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;

Cross multiplying, we get;

Thus, the value of x is 22.5 cm

Hence, Option F is the correct answer.

a² + b²= c²

24² + 7² = c²

c= 25

300pi

step-by-step explanation: