MathDB

2

Part of 1982 Dutch Mathematical Olympiad

Problems(1)

construction

Source: Netherlands 1982

6/27/2009
In a triangle ABC ABC, M M is the midpoint of AB AB and P P an arbitrary point on side AC AC. Using only a straight edge, construct point Q Q on BC BC such that P P and Q Q are at equal distance from CM CM.
geometrytrapezoidgeometry proposed