SOLUTION: the hypotenuse of an isosceles right triangle is 10 centimeters longer than either of its legs find the exact length of each side

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Question 334341: the hypotenuse of an isosceles right triangle is 10 centimeters longer than either of its legs find the exact length of each side
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S%5E2%2BS%5E2=%28S%2B10%29%5E2
2S%5E2=S%5E2%2B20S%2B100
S%5E2-20S-100=0
Complete the square,
%28S%5E2-20S%2B100%29-100=100
%28S-10%29%5E2=200
S-10=0+%2B-+sqrt%28200%29
S=10+%2B-+5sqrt%288%29
Only the positive result makes sense here.
highlight%28S=10+%2B+5sqrt%288%29%29cm
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H=10%2BS
highlight%28H=20%2B5sqrt%288%29%29cm