Question

If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is

Options

• 1.4 cm

• 1.8 cm

• 1.2 cm

• 1.05 cm

Answer 1

1.4 cm

Explanation;

Hint:

In ∆ABC and ADE

`"AB"/"AD" = "AC"/"AE" ⇒ 3.6/2.1 = 2.4/"AE"`

3.6 × AE = 2.4 × 2.1

AE = `(2.4 xx 2.1)/3.6 = (24 xx 21)/360`

AE = 1.4 cm