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	Welcome Magic cards The 34 Catch me The 99 About Me Problems Problem 1 Problem 2 Problem 3 Problem 4 An IQ Test My CV For Her


	The problem PQR is a triangle [display]O\in PQR[/display] [display]d_1//PQ \wedge O\in d_1[/display] [display]d_2//QR \wedge O\in d_2[/display] [display]d_3//QR \wedge O\in d_3[/display] WHat's the ratio between the area of the 3 small triangles and PQR ? (Greyed in figure)


	Dumy solution Really, I don't know a dumy solution ! Please, give me one ;-)


	Smart solution Show Look at diagrams bellow : We appended the image of himself then skewed it a bit. The side of each triangle is the square root of the area of each surface ! We get as answer: [display]\sqrt{S_{yellow}}+\sqrt{S_{blue}}+\sqrt{S_{green}}=\sqrt{S_{total}}[/display] Yep, this is a rectangle and I use square root to find the side ! But's because rectangle and square differ only by length.