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Question

The perimeters of two similar triangles ABC and PQR are respectively 36 cm and 24 cm. If PQ = 10 cm, then find AB.

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Solution

Since the ratio of the corresponding sides of similar triangles is same as the ratio of their perimeters.

ABC ~ PQR

ABPQ=BCQR=ACPR=3624

ABPQ=3624

AB10=3624

AB = 36×1024 cm = 15 cm


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