SOLUTION: The hypotenuse of an isosceles right triangle measures 7 centimeter. How long is each leg?

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Question 936628: The hypotenuse of an isosceles right triangle measures 7 centimeter. How long is each leg?
Found 2 solutions by Fombitz, srinivas.g:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by srinivas.g(540) About Me  (Show Source):
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The hypotenuse of an isosceles right triangle measures 7 centimeter
In isosceles right triangle , other 2 sides are equal
let x be the length of each side
as per Pythagoras Theorem
+x%5E2%2Bx%5E2=7%5E2
2x%5E2=49
+2x%5E2%2F2+=49%2F2
+x%5E2+=49%2F2
+x=+sqrt%2849%2F2%29
+x=++7%2Fsqrt%282%29
we have to rationalize the above term
multiply and divide with +sqrt%282%29
+x=+%287%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29
+x=+7sqrt%282%29%2F2
Result : length of each side =+7sqrt%282%29%2F2