Question

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

Answer 1

Given:

A triangle has sides measuring 11 cm, 16 cm, and 16 cm

A similar triangle has sides measuring x cm, 24 cm, and 24 cm

To Find:

The value of x

Solution:

It is given that the two triangles are similar, we will apply the property of similar triangles to find x.

Property: ''Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion).''

so the three sides should be in proportion:

$\frac{11}{x}$ = $\frac{16}{24}$ = $\frac{16}{24}$

On solving for x,

x = 16.5

Hence, the value of x = 16.5