SOLUTION: An isosceles right triangle has a hypotenuse length of 9cm. Find the length of one leg

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Question 922813: An isosceles right triangle has a hypotenuse length of 9cm. Find the length of one leg
Answer by MathLover1(20849) About Me  (Show Source):
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in an isosceles right triangle the length of both legs is same
if a hypotenuse length of c=9cmthen
c%5E2=a%5E2%2Bb%5E2...since a=b we have
c%5E2=a%5E2%2Ba%5E2
c%5E2=2a%5E2
c%5E2%2F2=a%5E2..plug in c=9cm
%289cm%29%5E2%2F2=a%5E2
81cm%5E2%2F2=a%5E2
40.5cm%5E2=a%5E2
sqrt%2840.5cm%5E2%29=a
a=6.363961030678928cm
a=6.36cm