The longer leg of a right triangle is 8 more than the shorter leg. The hypotenuse is 8 more than the longer leg. Find all three sides.
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OpenStudy (anonymous):
derp, help meh
OpenStudy (science0229):
You can use Pythagorean Theorem for this.
OpenStudy (anonymous):
derp
OpenStudy (science0229):
Put the shorter leg as x
OpenStudy (science0229):
Then the longer leg is x+8 and the hypotenuse is x+16
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OpenStudy (anonymous):
hmm
a^2 + b^2 = c
OpenStudy (science0229):
a^2 + b^2 = c^2
OpenStudy (science0229):
In this problem,
a=x
b=x+8
c=x+16
OpenStudy (science0229):
Solve that equation and find all 3 sides.
OpenStudy (anonymous):
oh wow
thx dod
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OpenStudy (anonymous):
it works
OpenStudy (science0229):
Warning: throw out the negative answer because length can't be negative.
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OpenStudy (science0229):
Also, shorter leg can't be longer than the longer leg.
OpenStudy (anonymous):
thx tho
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