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File:Ceva1.PNG Let ABC be a triangle, and let D, E, F be points on lines BC, CA, AB, respectively. Lines AD, BE, CF are concurrent if and only if(344 × 186 (6 KB)) - 20:16, 7 March 2014File:Triangle area ratio lemma.jpg If in a $\triangle ABC, D,E$ and $F$ are on $AB, BC, AC$ such that $AD:DB=1:a, BE:EC=1:b$ and $FC:FA=1:c$ Then $[DEF]=\left|\frac{[ABC](1+abc)}{(1+a)(1+b)(1+c)}\right|$(658 × 602 (22 KB)) - 04:56, 19 May 2024