Question

ΔАВС ~ ΔDEF and their perimeters are 32 cm and 24 cm respectively. If AB = 10 cm then DE = ?

Options

• 8 cm

• 7.5 cm

• 15 cm

• `5sqrt(3)` cm

Answer 1

7.5 cm

Explanation:

For similar triangles, the ratio of corresponding sides equals the ratio of their perimeters.

Here the scale factor = `24/32 = 3/4`.

So, `DE = 3/4 xx AB`

= `3/4 xx 10`

= 7.5 cm