SOLUTION: The diagonal of a square is 10 units. Find the area of the square

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Question 238937: The diagonal of a square is 10 units. Find the area of the square
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Apply Pythagorean theorem:
.
Let x = length of one side of square
then
x%5E2+%2B+x%5E2+=+10%5E2
2x%5E2+=+100
x%5E2+=+50
x+=+sqrt%2850%29
x+=+5sqrt%282%29
.
Area is then:
x * x
= 5sqrt(2) * 5sqrt(2)
= (5sqrt(2))^2
= 25*2
= 50 square units