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MathNet 2017-part-01 — 176 problems (EN–VI) Question 176

Math Olympiad Vault · MathNet 2017-part-01 — 176 problems (EN–VI)

Question 176

Let $ABCD$ be a trapezium with parallel sides $\overline{AB}$ and $\overline{CD}$, and let $P$ be the intersection of its diagonals. If the area of the trapezium equals $25$, and the area of the triangle $CDP$ equals $9$, find the area of the triangle $ABP$. (Stipe Vidak)