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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
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The statement of the theorem is in "
Notes on Euclidean Geometry
" by Paul Yiu, p. 90.
RELATED LINKS
Parallel
(
Wolfram
MathWorld
)
Parallel Lines
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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