SOLUTION: Find the length of the diagonal AC of the square ABCD if each side of the square is 4cm.

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Question 884718: Find the length of the diagonal AC of the square ABCD if each side of the square is 4cm.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal splits the square into two right triangles.
For those right triangles, the diagonal is the hypotenuse,
and sides of the square are the legs.
So, diagonal%5E2=%284cm%29%5E2%2B%284cm%29%5E2
diagonal%5E2=16cm%5E2%2B16cm%5E2
diagonal%5E2=32cm%5E2
diagonal=sqrt%2832cm%5E2%29
diagonal=sqrt%2832%29cm
diagonal=sqrt%2816%2A2%29cm
diagonal=sqrt%2816%29%2Asqrt%282%29cm
diagonal=4sqrt%282%29cm