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Hypotenuse right triangle 3 inches longer than longer leg. Shorter leg is 3 inches shorter than longer leg.find the lengths of sides?

Science & Mathematics by Anonymous 2018-05-11 13:09:49

Social Science

Hypotenuse right triangle 3 inches longer than longer leg. Shorter leg is 3 inches shorter than longer leg.find the lengths of sides?

2 answers

  • Anonymous

    c-b = 3 and b-a = 3, so c-a = 6 GCF(3,6)=3, so u = (c-a)/3 = 2 and v = (c-b)/3 = 1 From shortest to longest, the lengths of the sides (in inches) are: 3(√(2×1×2) + 1) = 9 3(√(2×1×2) + 2) = 12 3(√(2×1×2) + 1 + 2) = 15

  • Anonymous

    Let the hypotenuse be c; the longer leg be b & the shorter leg be a, then a=b-3, c=b+3. Thus (b+3)^2=b^2+(b-3)^2 => b^2-6b=6b => b(b-12)=0 => b=12 in since b=/=0 => a=12-3=9 in c=12+3=15 in

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