If Δ ABC≈Δ QRP,(Ar(Δ ABC))/(Ar(Δ QRP)) =9/4 , AB = 18 cm, BC = 15 cm, then the length of PR is:

If Δ ABC≈Δ QRP,(Ar(Δ ABC))/(Ar(Δ QRP)) =9/4 , AB = 18 cm…

If $\Delta ABC\approx\Delta QRP,\frac{Ar(\Delta ABC)}{Ar(\Delta QRP)}$ $=\frac{9}{4}$ , AB = 18 cm, BC = 15 cm, then the length of PR is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 10 cm.

$\Delta ABC\approx\Delta QRP,\frac{Ar(\Delta ABC)}{Ar(\Delta QRP)}$

Area of triangle ABC/Area of triangle QRP = BC²/PR²

⇒ 9/4 = 225/PR²

⇒ PR² = 100

⇒ PR = 10 cm