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    Question

    In a right-angled triangle, the perimeter is 60 cm. If

    the base is 12 cm and the height is 16 cm, find the length of the hypotenuse.
    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

    Solution

    Let the hypotenuse be c. Given: Perimeter = 60 cm, base = 12 cm, height = 16 cm. We know that the perimeter of a triangle is the sum of all sides: 12 + 16 + c = 60, so c = 60 - 28 = 32 cm. Using Pythagoras' theorem: c┬▓ = 12┬▓ + 16┬▓ c┬▓ = 144 + 256 = 400 c = тИЪ400 = 20 cm. Correct option: B) 20 cm

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