SOLUTION: A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter

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Question 256877: A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter
Found 2 solutions by drk, richwmiller:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
By Pythagorean theorem, we get
a%5E2+%2B+b%5E2+=+c%5E2
a = b and c = 40, so we get
2a%5E2+=+40%5E2
2a%5E2+=+1600
a%5E2+=+800
a ~ 28.3 cm

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2a^2=40
a^2=20
a=2sqrt%285%29