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apoorvk

  • 2 years ago

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?

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  1. apoorvk
    • 2 years ago
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    |dw:1332408081508:dw|

  2. dpaInc
    • 2 years ago
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    do you mean x^2 + y^2 is a minimum?

  3. dpaInc
    • 2 years ago
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    or 2x + 2y?

  4. apoorvk
    • 2 years ago
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    ya the same.

  5. apoorvk
    • 2 years ago
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    x^2 + y^2

  6. dpaInc
    • 2 years ago
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    k

  7. dpaInc
    • 2 years ago
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    |dw:1332460004291:dw| as D moves along AB i'm assuming the smallest square stays a square. correct?

  8. apoorvk
    • 2 years ago
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    yeah, and F will always lie on the side of the the other square as it slides!

  9. dpaInc
    • 2 years ago
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    looks like a lot of similar triangles to equate these variables...

  10. dpaInc
    • 2 years ago
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    i'll keep on it...

  11. Ishaan94
    • 2 years ago
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    Is it 3/4?

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