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    Question

    The smallest side of a right-angled triangle is 7 cm

    less than the side of a square of perimeter 76 cm. The second largest side of the right-angled triangle is 2 cm more than the length of the rectangle of area 154 cm² and breadth 11 cm. What is the largest side of the right-angled triangle?
    A 18 cm Correct Answer Incorrect Answer
    B 20 cm Correct Answer Incorrect Answer
    C 22 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The smallest side of the right-angled triangle = 76/4 - 7 = 12 cm The second largest side of the right-angled triangle = 154/11 + 2 = 16 cm Hypotenuse² = 12² + 16² = 144 + 256 = 400 ∴ The largest side of the right-angled triangle (hypotenus5) = √ 400 = 20 cm

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