SOLUTION: Find the length of the side of a square if the length of the diagonal 10.

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Question 449238: Find the length of the side of a square if the length of the diagonal 10.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the side of a square if the length of the diagonal 10.
Apply Pythagorean theorem:
Let x = length of the side of square
then
x%5E2+%2B+x%5E2+=+10%5E2
x%5E2+%2B+x%5E2+=+100
2x%5E2+=+100
x%5E2+=+50
x+=+sqrt%2850%29
x+=+sqrt%285%2A5%2A2%29
x+=+5%2Asqrt%282%29 (exact answer)
.
x+=+7.0711 (approx decimal answer)