MathDB
Parallelogram

Source: AIME 2009I Problem 4

March 18, 2009
geometryparallelogramratioAMCAIMErectangleanalytic geometry

Problem Statement

In parallelogram ABCD ABCD, point M M is on AB \overline{AB} so that \frac{AM}{AB} \equal{} \frac{17}{1000} and point N N is on AD \overline{AD} so that \frac{AN}{AD} \equal{} \frac{17}{2009}. Let P P be the point of intersection of AC \overline{AC} and MN \overline{MN}. Find ACAP \frac{AC}{AP}.