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    Question

    In a right angle triangle, the product of two sides is

    half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
    A 45⁰ Correct Answer Incorrect Answer
    B 60⁰ Correct Answer Incorrect Answer
    C 30⁰ Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    According to the question, AB.BC = (1 )/(2 ) AC² 2AB. BC = AB² + BC² AB² + BC² - 2 AB.BC = 0 (AB – BC)² = 0 AB = BC , ∠ ACB = ∠ CAB = 45⁰

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