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    Question

    A right-angled isosceles triangle has an area of 50

    square units. Its hypotenuse is (in units):
    A 10√3 Correct Answer Incorrect Answer
    B 5√5 Correct Answer Incorrect Answer
    C 10√2 Correct Answer Incorrect Answer
    D 5√2 Correct Answer Incorrect Answer

    Solution

    Let the legs of the right-angled isosceles triangle be x units each. The area is given by 12 × x × x = 50   ⟹   x²/2 = 50   ⟹   x² =100   ⟹   x = 10 The hypotenuse = x2 + x2 = √2x2 = √(2 × 100) = √200 = 10√2

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