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    Question

    In a rectangle PQRS, there is a point A located within

    the interior of the rectangle. The distances from point A to three vertices of the rectangle are as follows: AP = 8 cm, AR = 6 cm, and AQ = 5 cm. Determine the length of AS.
    A 5√5 cm Correct Answer Incorrect Answer
    B 3√5 cm Correct Answer Incorrect Answer
    C 5√3 cm Correct Answer Incorrect Answer
    D 5√7 cm Correct Answer Incorrect Answer

    Solution

    We know that in rectangle, AP2 + AR2 = AS2 + AQ2 So, 82 + 62 = AS2 + 52 Or, 64 + 36 = AS2 + 25 Or, 100 = AS2 + 25 Or, AS2 = 75 Or, AS = ±5√3 cm

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