ΔABC ≈ ΔPQR, Area of (ΔABC) is 16 sq. cm and area of (ΔPQR) is 25 sq. cm. If BC = 20 cm, then what is QR equal to?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 25 cm.
Given that
area of(ΔABC) = 16 cm² and area of(ΔPQR) = 25 cm². If BC = 20 cm
Formula used
area of(ΔABC)/ area of(ΔPQR) = BC2/QR2
Calculation
⇒ 16/25 = 202/QR2
⇒ QR2 = 400 × 25/16
⇒ QR = 20 × 5/4 = 25 cm