SOLUTION: Find the length of the hypotenuse of an isosceles right triangle with leg length 5 centimeters. Give the exact answer

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Question 955180: Find the length of the hypotenuse of an isosceles right triangle with leg length 5 centimeters. Give the exact answer
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the hypotenuse of an isosceles right triangle with leg length 5 centimeters. Give the exact answer
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c is the hypotenuse
c%5E2+=+5%5E2+%2B+5%5E2

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
a=length of legs=5cm; c=hypotenuse
a%5E2%2Ba%5E2=c%5E2
2a%5E2=c%5E2
sqrt%282a%5E2%29=c
sqrt%282%285cm%29%5E2%29=c
sqrt%282%29%2Asqrt%28%285cm%29%5E2%29=c
sqrt%282%295cm=c
ANSWER The hypotenuse is 5sqrt%282%29cm