3293 - Altitude Triangle (Asia - Dhaka 2005/2006)

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3293 - Altitude Triangle (Asia - Dhaka 2005/2006)

Post by Darko »

Can someone please explain this part to me:

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 Note that for a given altitude triangle ABC, there can be four possible triangles DEF
What I was thinking was: Find O, Draw lines orthogonal to OV at V (V={A,B,C}), there will be 3 intersection points, that's our triangle DEF.

But that is obviously wrong, because that way (I think) I get only one triangle?


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