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    Question

    A trapezium has parallel sides of lengths 10 cm and 20 cm, and its height is 8 cm. Find the length of the diagonal if the diagonals are equal.

    A 17.7 cm Correct Answer Incorrect Answer
    B 20 cm Correct Answer Incorrect Answer
    C 22.5 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

    Using the trapezium diagonal formula for equal diagonals: Diagonal^2 = (sum of squares of parallel sides) / 2 + height^2. Diagonal^2 = (10^2 + 20^2) / 2 + 8^2 = (100 + 400) / 2 + 64 = 250 + 64 = 314. Diagonal = √314 ≈ 17.73 cm.

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