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Question

ΔABC and ΔPQR are similar triangles. If AB = 4 cm, BC = 5 cm, AC = 2 cm, and PQ = 8 cm, find the perimeter of the ΔPQR.

A
16 cm
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B
22 cm
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C
28 cm
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D
30 cm
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Solution

The correct option is B 22 cm
Given:
ΔABC and ΔPQR are similar triangles. AB = 4 cm, BC = 5 cm, AC = 2 cm, and PQ = 8 cm

We know that corresponding sides of similar triangles are proportional.

PQAB=QRBC=PRAC

84=QR5=PR2
So, QR = 10 cm and PR = 4 cm

Perimeter of ΔPQR = PQ + QR + PR
Perimeter of ΔPQR = 8 + 10 + 4 = 22 cm



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