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    Question

    In a circle, two chords AB and CD intersect inside the

    circle at P. If AP = 4 cm, PB = 6 cm, CP = 5 cm, and PD = x cm, what is the value of x?
    A 3.6 cm Correct Answer Incorrect Answer
    B 7 cm Correct Answer Incorrect Answer
    C 4.8 cm Correct Answer Incorrect Answer
    D 9 cm Correct Answer Incorrect Answer

    Solution

    By the intersecting chords theorem, AP × PB = CP × PD. Substituting the values, 4 × 6 = 5 × x, so 24 = 5x, x = 24 / 5 = 4.8 cm. Correct answer: c) 4.8 cm

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