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    Question

    The perimeters of 2 similar triangles ∆ABC and ∆PQR

    are 18 cm and 12 cm respectively. If PQ= 8 cm, then AB is?
    A 21 cm Correct Answer Incorrect Answer
    B 22 cm Correct Answer Incorrect Answer
    C 9 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    Ratio of perimeter of similar triangles = ratio of the corresponding sides of similar triangles. (perimeter of ∆ABC)/(perimeter of ∆PQR) = AB/PQ 18/12 = AB/8 or AB = (18 × 8)/12 = 12 cm

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