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Discussion :: Area

  1. The sides of a triangle are in the ratio 10: 24:26 and its perimeter is 300 m. What is its area?

    2. A.
    2500 m2
    B.
    3000 m2
    C.
    3500 m2
    D.
    4000 m2

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    Answer : Option A

    Explanation :

    Let the sides are 10x, 24x, and 26x.
    The perimeter is 300 m.
    So, 10x + 24x + 26x = 300
    60x = 300
    x= 5

    So, the sides are 10 *5 = 50 meters
    24 * 5 = 100 meters
    26 * 5 = 130 meters
    102 + 242 = 262 so, it is a right triangle.
           100 + 576 = 676

    The area of a right triangle is = 1/2 * base * height
                  = 1/2 * 50 * 100
                  = 2500 m2

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