MathDB
Triangle Segments

Source:

December 22, 2005
analytic geometrygeometryAMCAIMEratioparallelogramsymmetry

Problem Statement

In ABC\triangle ABC, AB=425AB= 425, BC=450BC=450, and AC=510AC=510. An interior point PP is then drawn, and segments are drawn through PP parallel to the sides of the triangle. If these three segments are of an equal length dd, find dd.