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highschoolmom2010

  • one year ago

What is the side length 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.

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  1. dumbcow
    • one year ago
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    use fact the diagonal of a square is sqrt2 times side length |dw:1375640019150:dw|

  2. highschoolmom2010
    • one year ago
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    |dw:1375640072724:dw|

  3. highschoolmom2010
    • one year ago
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    is that how i need to set it up?

  4. gypsy1274
    • one year ago
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    Looks good to me. Do you know where to go from there?

  5. highschoolmom2010
    • one year ago
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    eh not really well ....

  6. gypsy1274
    • one year ago
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    I would use the pythagorean theorem to find the length of the sides. Does that help?

  7. highschoolmom2010
    • one year ago
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    so x^2+x^2=20^2 x^2+x^2=400^@

  8. gypsy1274
    • one year ago
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    Before taking the square root, divide both sides by 2.

  9. gypsy1274
    • one year ago
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    \(x^2+x^2 = 20^2\) \(2x^2=400\)

  10. dumbcow
    • one year ago
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    haha ok i guess you didn't get my drawing...you could just say \[\sqrt{2} x = 20\] \[x = \frac{20}{\sqrt{2}}\]

  11. highschoolmom2010
    • one year ago
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    oh ok \[\frac{ 2x^2 }{ 2 }=\frac{ 400 }{ 2 }\] \[x^2=200\] \[\sqrt{x^2}=\sqrt{200}\]

  12. highschoolmom2010
    • one year ago
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    |dw:1375640872842:dw| what do i do from here

  13. gypsy1274
    • one year ago
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    Yes, 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.

  14. dumbcow
    • one year ago
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    they want answer as decimal so no point in simplifying radical ...

  15. dumbcow
    • one year ago
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    haha:)

  16. gypsy1274
    • one year ago
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    You 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.

  17. highschoolmom2010
    • one year ago
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    well if i needed the simple radical i was headed right :DD

  18. highschoolmom2010
    • one year ago
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    \[\approx 14.14\]

  19. gypsy1274
    • one year ago
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    Yes, 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....

  20. highschoolmom2010
    • one year ago
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    \[\approx14\]

  21. highschoolmom2010
    • one year ago
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    sorry i forgot that for a second

  22. gypsy1274
    • one year ago
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    \(\approx14.1\)

  23. highschoolmom2010
    • one year ago
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    oh well i got that all mixed up

  24. gypsy1274
    • one year ago
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    You did well.

  25. highschoolmom2010
    • one year ago
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    ty @gypsy1274 & @dumbcow

  26. gypsy1274
    • one year ago
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    Your welcome.

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