SOLUTION: In an Isosceles right triangle, the length of the hypotenuse is 10 units, how long is each leg?

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Question 833040: In an Isosceles right triangle, the length of the hypotenuse is 10 units, how long is each leg?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
That is a Special Triangle, with a 90 degree angle and two 45 degree angles. Each leg equals the other leg. Call the leg length of one leg x.

x%5E2%2Bx%5E2=10%5E2, because we have Pythagorean Theorem for sides of a right triangle.
2x%5E2=100
x%5E2=50
x=sqrt%282%2A5%2A5%29
highlight%28x=5sqrt%282%29%29+