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?

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apoorvk

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dpaInc

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do you mean x^2 + y^2 is a minimum?

dpaInc

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or 2x + 2y?

apoorvk

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ya the same.

apoorvk

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x^2 + y^2

dpaInc

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k

dpaInc

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as D moves along AB i'm assuming the smallest square stays a square. correct?

apoorvk

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yeah, and F will always lie on the side of the the other square as it slides!

dpaInc

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looks like a lot of similar triangles to equate these variables...

dpaInc

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i'll keep on it...

Ishaan94

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Is it 3/4?