Mathematics, 02.09.2019 19:30 joe1591

Let $abcdef$ be a convex hexagon, and denote by $p, q, r, s, t, u$ the midpoints of the sides $ab$, $bc$, $cd$, $de$, $ef$, $fa$ respectively. suppose that the areas of the triangles $abr$, $bcs$, $cdt$, $deu$, $efp$ and $faq$ are 12, 34, 56, 12, 34 and 56 respectively. find the area of the hexagon.

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Let $abcdef$ be a convex hexagon, and denote by $p, q, r, s, t, u$ the midpoints of the sides $ab$,...