Question
The perimeters of two similar triangles, ∆ PQR and ∆
XYZ are 48 cm and 24 cm respectively. If XY = 12 cm. then PQ is:Solution
When two triangles are similar to each other, the ratio of their corresponding sides is equal to the ratio of their respective other sides, medians, and perimeters. ⇒ Perimeter of ΔPQR/Perimeter of ΔXYZ = PQ/XY => 48/24 = PQ/12 ⇒ PQ/12 = 2 ⇒ PQ = 24 m ∴ The length of side PQ = 24 cm
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