The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is
A) 18 cm B) 12 cm C) 15 cm D) 330 cm
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Answer:
ABC and PQR are respectively 36 cm and 24 cm .
PQ = 10 cm
AB = ?
The ratio of corresponding sides of similar triangles is same as the ratio of their perimeters.
∴ ΔABC ≅ ΔPQR
AB/PQ = BC/QR = AC/PR = 36/24
AB/PQ = 36/24
AB/10 = 36/24
AB = 36 × 10/24 cm
AB = 15 cm
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