Let △ABC △RPQ and (ar(△ABC))/(ar(△PQR)) = 4/9 . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ ( in cm) is equal to :

Let △ABC △RPQ and (ar(△ABC))/(ar(△PQR)) = 4/9 . If AB = 3…

Let △ABC △RPQ and $\frac{ar(△ABC)}{ar(△PQR)}$ = $\frac{4}{9}$ . If AB = 3 cm, BC = 4 cm and AC = 5 cm, then PQ ( in cm) is equal to :

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 2 i.e. 6

We have given the ratio of the area of ABC and PQR = 4 : 9

BC = 4 cm

Now,

BC²/PQ² = 4/9

⇒ BC/PQ = 2/3

⇒ 4/PQ = 2/3

⇒ PQ = 6 cm