apoorvk
  • apoorvk
Three squares are shown in the diagram. The largest has side AB of length 1. The others have side AC of length x and side DE of length y. As D moves along AB, find the values of x and y for which x2+y2 is a minimum. What is this minimum?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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apoorvk
  • apoorvk
|dw:1332408081508:dw|
anonymous
  • anonymous
do you mean x^2 + y^2 is a minimum?
anonymous
  • anonymous
or 2x + 2y?

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apoorvk
  • apoorvk
ya the same.
apoorvk
  • apoorvk
x^2 + y^2
anonymous
  • anonymous
k
anonymous
  • anonymous
|dw:1332460004291:dw| as D moves along AB i'm assuming the smallest square stays a square. correct?
apoorvk
  • apoorvk
yeah, and F will always lie on the side of the the other square as it slides!
anonymous
  • anonymous
looks like a lot of similar triangles to equate these variables...
anonymous
  • anonymous
i'll keep on it...
anonymous
  • anonymous
Is it 3/4?

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