Question

Triangle ABC is similar to triangle FGH.

Given:GH=13.5cm,FG=9cm, AB=15cm ,BC=12cm What is the value of x in centimeters?
A) 22.5 cm
B) 8 cm
C) 10.8 cm
D) 30 cm

Answer 1

The value of x is 22.5 cm if the triangles ABC is similar to triangle FGH.

Step-by-step explanation:

Given that triangle ABC is similar to triangle FGH, we can use the concept of similarity to find the value of x.

In similar triangles, corresponding sides are proportional. So we can set up the following ratio:

AB / FG = BC / GH

Substituting the given values, we have:

9/13.5 = 15 / x

Simplifying this equation,

9x=15×13.5

9x=202.5

Divide both sides by 9;

x=202.5/9

x=22.5

Hence, the value of x is 22.5 cm , option A is correct.