A Property of Angle Bisectors III
The applet below illustrates a proof of the Angle Bisector theorem suggested by Gregoire Nicollier, Sion, Switzerland. The proof is a modfication of the one submitted by Professor McWorter and applies to both internal and external angle bisectors:
12 January 2015, Created with GeoGebra
\(\frac{AB}{AC} = \frac{BD}{CD}.\)
I leave it as a proof without words. It's a good exercise to figure out what is it about.
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