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    Question

    In a rectangle ABCD, ‘P’ is a point inside the

    rectangle. If PA = 8 cm, PC = 6 cm and PB = 5 cm, then find PD.
    A ± 3√5 cm Correct Answer Incorrect Answer
    B ± 5√5 cm Correct Answer Incorrect Answer
    C ± 5√3 cm Correct Answer Incorrect Answer
    D ± 7√3 cm Correct Answer Incorrect Answer

    Solution

    ATQ, We know that in rectangle, PA2 + PC2 = PD2 + PB2 So, 82 + 62 = PD2 + 52 Or, 64 + 36 = PD2 + 25 Or, 100 = PD2 + 25 Or, PD2 = 75 Or, PD = ±5√3 cm

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