Question
Two triangles ABC and PQR are similar. The area of ΔABC
is 81 cm² and the area of ΔPQR is 144 cm². If side AB = 9 cm and the corresponding side in ΔPQR is PQ, find the length of PQ.Solution
Area ratio = 81 : 144 = 9 : 16 Linear scale factor = √(Area ratio) = √(9/16) = 3/4 If AB in smaller corresponds to PQ in larger: PQ / AB = 4/3 (since larger : smaller = 4 : 3) PQ = 9 × 4/3 = 12 cm.
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