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MathNet 2018-part-05 — 181 problems (EN–VI) Question 19

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 19

On the side $BC$ of a parallelogram $ABCD$ lies a given point $M$. Find a compass-and-straightedge construction of a point $N \in CD$, so that the straight line $BD$ separates triangle $AMN$ into two equivalent areas.

Cecilia Deaconescu