# Dividing a Triangle by Lines Parallel to Two Sides

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Let ABC be a triangle and E a point on AC. Let D be on AB such that DE is parallel to BC and F be on BC such that EF is parallel to AB. Let , , and be the areas of ADE, EFC, and DEFB, respectively. Then .

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

See problem 1.33 in V. Prasolov, *Problems in Plane and Solid Geometry*, Vol. 1, *Plane Geometry* [PDF], (D. Leites, ed. and trans.).

## Permanent Citation

"Dividing a Triangle by Lines Parallel to Two Sides"

http://demonstrations.wolfram.com/DividingATriangleByLinesParallelToTwoSides/

Wolfram Demonstrations Project

Published: March 7 2011