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    Question

    If ABCD is an isosceles trapezium with AD = BC =20 cm,

    DC = 40 cm, and AB = 25 cm, then find the sum of squares of the length of diagonals of the trapezium.?
    A 1800cm² Correct Answer Incorrect Answer
    B 2000cm² Correct Answer Incorrect Answer
    C 2500cm² Correct Answer Incorrect Answer
    D 2800cm² Correct Answer Incorrect Answer

    Solution

    , ABCD is an isosceles trapezium, AC² + BD² = AD² + BC² + 2 × AB × DC (Property of an isosceles trapezium) AC² + BD² = 400 + 400 + 2 × (25 × 40) AC² + BD² = 800 + 2000 AC² + BD² = 2800 cm²

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