SOLUTION: A right-angle triangle has a hypnotuse that is 10cm in length. Find possible dimensions for the two shorter sides. Show working out.

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Question 318155: A right-angle triangle has a hypnotuse that is 10cm in length. Find possible dimensions for the two shorter sides. Show working out.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2Bb%5E2=10%5E2=100
b%5E2=100-a%5E2
There are an infinite number of possible choices for a and b.
Let a=1
Then b%5E2=100-1=99, b=sqrt%2899%29
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Let a=5
Then b%5E2=100-25=75, b=sqrt%2875%29=5sqrt%283%29
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If a=b, then
2a%5E2=100
a%5E2=50
a=b=sqrt%2850%29=5sqrt%282%29