Q.1 (B)(1) If Δ ABC sim Δ PQR and AB : PQ = 2 : 3 , then find the value of A(Δ ABC)/A(Δ PQR) .

If \(\Delta ABC \sim \Delta PQR\) and \(AB : PQ = 2 : 3\), then find the value of \(\dfrac{A(\Delta ABC)}{A(\Delta PQR)}\).

Q.1 (B)(1) If \(\Delta ABC \sim \Delta PQR\) and \(AB : PQ = 2 : 3\), then find the value of \(\dfrac{A(\Delta ABC)}{A(\Delta PQR)}\).

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

Best answer

Answer: \(\dfrac{A(\Delta ABC)}{A(\Delta PQR)} = \dfrac{4}{9}\)

For similar triangles, the ratio of areas equals the ratio of the squares of corresponding sides:

\(\dfrac{A(\Delta ABC)}{A(\Delta PQR)} = \dfrac{AB^2}{PQ^2} = \left(\dfrac{2}{3}\right)^2 = \dfrac{4}{9}\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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