MathDB

5

Part of 2011 QEDMO 9th

Problems(1)

perpendicular from interior point of a convex lies on a side

Source: 9th QEDMO p5 Seniors (21-22. 9. 2011) https://artofproblemsolving.com/community/c1512515_qedmo_200507

5/16/2021
Let PP be a convex polygon, so have all interior angles smaller than 180o180^o, and let XX be a point in the interior of PP. Prove that PP has a side [AB][AB] such that the perpendicular from XX to the line ABAB lies on the side [AB][AB].
geometryconvex polygonconvexperpendicular