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highschoolmom2010
 3 years ago
What is the side length of the smallest square plate on which a 20cm chopstick can fit along a diagonal without any overhang? Round your answer to the nearest tenth of a centimeter.
highschoolmom2010
 3 years ago
What is the side length of the smallest square plate on which a 20cm chopstick can fit along a diagonal without any overhang? Round your answer to the nearest tenth of a centimeter.

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0use fact the diagonal of a square is sqrt2 times side length dw:1375640019150:dw

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1375640072724:dw

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0is that how i need to set it up?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Looks good to me. Do you know where to go from there?

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0eh not really well ....

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I would use the pythagorean theorem to find the length of the sides. Does that help?

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0so x^2+x^2=20^2 x^2+x^2=400^@

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Before taking the square root, divide both sides by 2.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\(x^2+x^2 = 20^2\) \(2x^2=400\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0haha ok i guess you didn't get my drawing...you could just say \[\sqrt{2} x = 20\] \[x = \frac{20}{\sqrt{2}}\]

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0oh ok \[\frac{ 2x^2 }{ 2 }=\frac{ 400 }{ 2 }\] \[x^2=200\] \[\sqrt{x^2}=\sqrt{200}\]

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1375640872842:dw what do i do from here

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, that would be great if you were supposed to have a radical in your answer, but your question says to round to the nearest tenth, so use a calculator (or google) to get the square root of 200.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0they want answer as decimal so no point in simplifying radical ...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You might want to save @dumbcow's original picture and equation to spend a rainy day in contemplation. If you can remember it the next time you need it, that would be a quicker way of getting to the answer.

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0well if i needed the simple radical i was headed right :DD

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0\[\approx 14.14\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, you simplified the radical very well. And in later classes, you will probably need to leave your answer like that. Rounded to the nearest tenth is one place after the decimal....

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0\[\approx14\]

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0sorry i forgot that for a second

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0oh well i got that all mixed up

highschoolmom2010
 3 years ago
Best ResponseYou've already chosen the best response.0ty @gypsy1274 & @dumbcow
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