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Math Help - Finding the sides of a triangle given altitude and hypotenuse

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    Finding the sides of a triangle given altitude and hypotenuse

    The perimeter of a right triangle is 60 and the altitude
    on the hypotenuse is 12. Find the sides of the triangle.
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    MHF Contributor Amer's Avatar
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    Quote Originally Posted by Statsnoob2718 View Post
    The perimeter of a right triangle is 60 and the altitude
    on the hypotenuse is 12. Find the sides of the triangle.
    look to the picture

    the perimeter 60

    a+b+c = 60

    and since we have a right triangle

    a^2 = b^2 + c^2

    we have another equation the area

    1/2 * base *altitude find it consider a as base , and another time consider b base so

    \frac{1}{2} a (12) = \frac{1}{2} b c

    three equations solve them
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