Question

The two triangles below are similar.

Calculate the value of x.
Give your answer as an integer or as a fraction in its
simplest form.
12 mm
P
3 mm
amm
Q
10 mm
Not drawn accurately

Answer 1

x = 40

Explanation:

given that the two triangles are similar , then the ratios of corresponding sides are in proportion , that is

`(x)/(12)` =
`(10)/(3)` ( cross- multiply )

3x = 12 × 10 = 120 ( divide both sides by 3 )

x = 40