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MathNet 2010 — Part 02 Question 178

Math Olympiad Vault · MathNet 2010 — Part 02

Question 178

the square $ABCD$ Be a rhombus with a sharp angle $A$. the points $M$ and $N$ like so on the routes $AC$ and $BC$ be in place that $|DM| = |MN|$. further be $P$ The intersection of $AC$ and $DN$ as well as $R$ The intersection of $AB$ and $DM$. Prove that $|RP| = |PD|$.