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Triangle ABC ~ triangle PQR. The ratio of their areas is 9:25. If BC = 12 cm, find QR (in cm).

Class 10Criteria for SimilarityGeometry — Similarity

A20
B22
C40
D18

Step-by-Step Solution

Ratio of areas =

(s i d er a t i o)^{2} = \frac{9}{25}

, so side ratio =

\frac{3}{5} . \frac{BC}{QR} = \frac{3}{5}, \frac{12}{QR} = \frac{3}{5}, QR = 20

cm.

Answer: A) 20

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