If ΔABC ~ ΔQRP, ar (ΔABC) / ar (ΔPQR) =9/4 , AB = 18 cm and BC = 15 cm, then Pris equal to
(A) 10 cm (B) 12 cm (C) 20/3 cm (D) 8 cm
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Answer:
We know that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
ar (ΔABC) / ar (ΔPQR) = BC2/RP2
9/4 = (15)2/RP2
RP2 = (4/9) ×225
PR2 = 100
Therefore, PR = 10 cm
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