Quickster
Suppose chords AB and CD of a circle meet a smaller cocentric circle at points U,V,X, and Y.
If AU=2, UV=10, and CX=3 find XY
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Quickster
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|dw:1330494422736:dw|
Quickster
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Tried using systems of equations to try to solve it at one point
sasogeek
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i think you should use ratios and proportions... \(\large \frac{2}{10}=\frac{3}{x} \) find x... i'm not sure but this is an educated guess. if i figure out any definite sure answer, i'll let you know
mattt9
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is there any given relation between AB and CD?
mattt9
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is that picture drawn exactly as your problem shows it?
Quickster
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No, there is not. And yes, it is.
sasogeek
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if the picture is the exact question then xy is smaller than uv
Quickster
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Quickster
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That is an exact photo
Quickster
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My sincerest condolences
sasogeek
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well according to what i see in the diagram, the ratios should suffice for the solution
sasogeek
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xy is obviously longer than uv in the picture, in your diagram, it looked different so it got me thinking but in your picture, i think the ratios will solve it :) so find x and tell me what u get
Quickster
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15
sasogeek
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there u go :)
Quickster
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Thank you very much!
sasogeek
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you're welcome :)
sasogeek
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will I be seeing u often in here?
Quickster
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Hopefully ;)
sasogeek
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I sure want to see you tomorrow, i'll be here so let me know when you get on, we can learn something new ;)
Quickster
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Alright, thanks!
Quickster
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Looking forward
sasogeek
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\(\huge \text{Anytime :)} \)