SOLUTION: The hypotenuse of a right triangle is 10cm long. The two legs are equal in length. Find the length of each leg. (Round to nearest tenth)

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Question 454911: The hypotenuse of a right triangle is 10cm long. The two legs are equal in length. Find the length of each leg. (Round to nearest tenth)
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let's x cm the length of the leg, using Pythagorean Theorem we write:
x%5E2%2Bx%5E2=10%5E2=>2x%5E2=100=>x%5E2=50=>x=sqrt%2850%29=>
x=5sqrt%282%29=>x=7.1 cm.