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Ray Of Light [21]
3 years ago
7

PLEASE HELP

Mathematics
1 answer:
irina [24]3 years ago
8 0
Take the longer leg length as x

(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0

Use the formular
x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft
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