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AoPS Wiki:Problem of the Day/June 19, 2011

< AoPS Wiki:Problem of the Day
Revision as of 20:35, 18 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 19, 2011": Problem of the Day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))
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I choose a point located in the interior of a plane triangle. After that, I construct line segments from that point to each of the vertices of the triangle. Three new triangles are formed. Prove that at least two of the triangles are obtuse.

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