MathDB
easy geometry

Source: Ireland 1995

July 1, 2009
geometrygeometry proposed

Problem Statement

Points P,Q,R P,Q,R are given in the plane. It is known that there is a triangle ABC ABC such that P P is the midpoint of BC BC, Q Q the point on side CA CA with \frac{CQ}{QA}\equal{}2, and R R the point on side AB AB with \frac{AR}{RB}\equal{}2. Determine with proof how the triangle ABC ABC may be reconstructed from P,Q,R P,Q,R.
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