SOLUTION: Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8 radical 2

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Question 433964: Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8 radical 2
Answer by Gogonati(855) About Me  (Show Source):
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Let's x cm the measure of the leg. Using Pythagorean theorem for this triangle we write:
x%5E2%2Bx%5E2=%288sqrt%282%29%29%5E2,solve this equation,
2x%5E2=128, divide both sides by 2,
x%5E2=64
x=8+cm.
Answer:The length of the leg is 8 cm.
Done