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14 December, 02:37

the diagram shows a right angled triangle. its hypotenuese is (x+4) cm while tge lengths of the otger two sides are x cm and (2x-y) cm respectively. If the perimeter of the triangle is 24 cm, find the value of x and of y with the condition x> y

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  1. 14 December, 02:59
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    Sum of all sides of triangle = perimeter of it

    x+4+x+2x-y=24

    4x-y=20

    y=4x-20

    H^2=p^2+b^2

    (x+4) ^2=x^2 + (-2x+20) ^2

    From here you can calculate value of x and y

    x^2+16+8x=5x^2-80x+400

    4x^2-88x+384

    =x^2-22x+96

    you use quadratic formula to calculate x and y

    Remember greatest value should be x and smallest should be y as the conditions given above
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