Math wizzes!?! Please help! (Word problem)?

[dyyylllaannn]

You are designing dinnerware. What is the length 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.

Please explain the answer play-by-play to me, 10pts to best explaination. And if you answer ANY of my other unresolved questions, 10 more points.

[Rob]

This question is simple if you break it up properly. You need to think of the square as two right triangles. The 20cm chopstick is the hypotenuse. The pythagorean theorem states a^2 + b^2 = c^2
since a and b are the same you can say 2x^2 = c^2
2x^2 = 20^2
2x^2 = 400
2x = 20
x = 10
THE ANSWER IS 10 CM!!