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    Question

    A right-angled triangle has legs of lengths 9 cm and 12

    cm. Find its hypotenuse, area and perimeter.
    A Hypotenuse = 15 cm; Area = 54 cm²; Perimeter = 36 cm Correct Answer Incorrect Answer
    B Hypotenuse = 18 cm; Area = 34 cm²; Perimeter = 32 cm Correct Answer Incorrect Answer
    C Hypotenuse = 13 cm; Area = 74 cm²; Perimeter = 35 cm Correct Answer Incorrect Answer
    D Hypotenuse = 10 cm; Area = 24 cm²; Perimeter = 46 cm Correct Answer Incorrect Answer

    Solution

    Let legs = 9 cm, 12 cm; right angle between them. Hypotenuse = √(9² + 12²) = √(81 + 144) = √225 = 15 cm Area = ½ × base × height = ½ × 9 × 12 = 54 cm² Perimeter = 9 + 12 + 15 = 36 cm Answer: Hypotenuse = 15 cm; Area = 54 cm²; Perimeter = 36 cm.

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