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    Question

    In a right-angled triangle, the hypotenuse is 20 cm, and

    one of the legs is 12 cm. Find the area of the triangle.
    A 72 cm² Correct Answer Incorrect Answer
    B 96 cm² Correct Answer Incorrect Answer
    C 80 cm² Correct Answer Incorrect Answer
    D 60 cm² Correct Answer Incorrect Answer

    Solution

    Let the legs of the right-angled triangle be a and b, and the hypotenuse be c. Given: c = 20 cm and a = 12 cm. Using Pythagoras' theorem: c² = a² + b² 20² = 12² + b² 400 = 144 + b² b² = 256 b = 16 cm Area of the triangle = 1/2 × a × b Area = 1/2 × 12 × 16 = 96 cm² Correct option: B) 96 cm²

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