Question

In the given figure, DE || BC. If DE = 5 cm, BC = 8 cm and AD = 3.5 cm then AB = ?

विकल्प

• 5.6 cm

• 4.8 cm

• 5.2 cm

• 6.4 cm

Answer 1

5.6 cm

Explanation:

DE || BC so ΔADE ∼ ΔABC.

Hence, `(AD)/(AB) = (DE)/(BC)`. 

So, `AB = AD xx ((BC)/(DE))`

= `3.5 × (8/5)` 

= 3.5 × 1.6

= 5.6 cm