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Lines Parallel to the Sides of a Triangle


	Let ABC be a triangle and let the angle bisectors at A, B, and C intersect the opposite sides at points P, Q, and R. Draw lines from P, Q, and R parallel to AB, BC, and AC that intersect AC, AB, and BC at P', Q', and R'. Then . Drag the points A, B, or C to change the figure.


	Contributed by: Jay Warendorff After work by: Paul Yiu

The statement of the theorem is in "Notes on Euclidean Geometry" by Paul Yiu, p. 90.

Parallel (Wolfram MathWorld)

Parallel Lines (Wolfram MathWorld)

"Lines Parallel to the Sides of a Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LinesParallelToTheSidesOfATriangle/

Contributed by: Jay Warendorff

After work by: Paul Yiu

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