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    Question

    The perimeters of two similar triangles, ∆ PQR and ∆

    XYZ are 48 cm and 24 cm respectively. If XY = 12 cm. then PQ is:
    A 24 cm Correct Answer Incorrect Answer
    B 18 cm Correct Answer Incorrect Answer
    C 12 cm Correct Answer Incorrect Answer
    D 8 cm Correct Answer Incorrect Answer

    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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