SOLUTION: Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given =3 square root of 2 a0inches

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Question 685732: Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.
Given =3 square root of 2
a0inches
Found 2 solutions by sachi, MathLover1:
Answer by sachi(548) About Me  (Show Source):
You can put this solution on YOUR website!
hypotenuse of isosceles right triangle = sqrt(2* leg ^2)=sqrt(2*(3 square root 2)^2)=sqrt(2*18)=6 units
ans

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

To find the hypotenuse h, we have, use the Pythagorean theorem,
c%5E2+=+a%5E2+%2B+b%5E2...if a=b=3sqrt%282%29

c%5E2+=+%283sqrt%282%29%29%5E2+%2B+%283sqrt%282%29%29%5E2

c%5E2+=+9%2A2%2B+9%2A2

c%5E2+=+18%2B+18

c%5E2+=+36

c+=sqrt%2836%29

c+=6