geometry

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If the area and perimeter of a right triangle are 30 cm2 and 30 cm, respectively, what is the length of the hypotenuse (the side opposite the right angle)?

  • geometry -

    a+b+c = 30
    1/2 ab = 30
    since b = 60/a,

    a+(60/a)+√(a^2 + (60/a)^2) = 30
    a = 5

    the triangle is a 5-12-13 right triangle

  • geometry -

    i stuck at this point and did not get forward
    a^2 -15a +60 = 0

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