SOLUTION: what is the lenght of a side of the smallest square plate on which a 20-cm chopstick can fit along a diagonal without any overhang? round your answer to the nearest tenth of a cent

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Question 180057: what is the lenght of a side of the smallest square plate on which a 20-cm chopstick can fit along a diagonal without any overhang? round your answer to the nearest tenth of a centimeter
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=side of the square
the angles of a square are all right angles.
Therefore, the diagonal is sqrt%28x%5E2%2Bx%5E2%29=sqrt%282x%5E2%29=xsqrt%282%29 cm long
The diagonal is 20 cm long so,
xsqrt%282%29=20
x=20%2Fsqrt%282%29=%2820sqrt%282%29%29%2F2=10sqrt%282%29cm
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