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    Question

    The height of a triangle is equal to the perimeter of a

    square whose diagonal is 6√2 m and the base of the same triangle is equal to the side of a square whose area is 484 m². What is the area of the triangle?
    A 264 m² Correct Answer Incorrect Answer
    B 336 m² Correct Answer Incorrect Answer
    C 324 m² Correct Answer Incorrect Answer
    D 274 m² Correct Answer Incorrect Answer

    Solution

    Diagonal of a square = 6√2 (√2) a = 6√2 ; a = 6m Now, the height of a triangle = perimeter of a square Height of a triangle = 4 x6 = 24m Base of the triangle = side of a square Base of a triangle = √484 = 22m Area of a triangle = 1/2× 24× 22 = 264 m²

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