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    Question

    In ΔABC,XY is drawn parallel to BC, cutting sides at X

    and Y, where AB = 5.4 cm ,BC = 7.2 cm and BX = 3 cm. What is the length of XY (in cm)?
    A 4.3 Correct Answer Incorrect Answer
    B 3.0 Correct Answer Incorrect Answer
    C 3.2 Correct Answer Incorrect Answer
    D 2.8 Correct Answer Incorrect Answer

    Solution

    AB = 5.4, BX = 3 ⇒ AX = 5.4 − 3 = 2.4 XY ∄ BC ⇒ by similarity: XY / BC = AX / AB XY / 7.2 = 2.4 / 5.4 XY = 7.2 × (2.4 / 5.4) = 7.2 × (24 / 54) = 7.2 × (4 / 9) = 3.2 cm

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