Question

For a triangle ABC,D and E are two points on AB and AC such that AD = `1/4` AB, AE = `1/4` AC. If BC = 12 cm, then DE is

Options

• 5 cm

• 4 cm

• 3 cm

• 6 cm

Answer 1

3 cm

Explanation:

`(AD)/(AE) = (AB)/(AC)`

ΔADE ∼ ΔABC

∴ DE = `1/4` BC = `1/4 xx 12` = 3 cm