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    Question

    The lengths of two sides of a parallelogram are 3 cm and

    10 cm. What is the sum of the squares of the diagonals of the parallelogram?
    A 218 cm² Correct Answer Incorrect Answer
    B 109 cm² Correct Answer Incorrect Answer
    C 169 cm² Correct Answer Incorrect Answer
    D 206 cm² Correct Answer Incorrect Answer

    Solution

    Let the parallelogram be ABCD, AB = 3 cm BC = 10 cm CD = 3 cm DA = 10 cm Using the concept, The sum of the squares of the diagonals = (AB + BC + CD + DA ) ⇒ (32 + 102 + 32 + 102 ) ⇒ (9 + 100 + 9 + 100) ⇒ 218

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