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Division of the Opposite Side by an Angle Bisector
The internal bisector of an angle of a triangle divides the opposite side in the ratio of the sides containing the angle bisected. In symbols, if
BAD =
CAD, then BD/DC = AB/AC.
Drag the orange point to change the figure.
Contributed by:
Jay Warendorff
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Angle Bisector
(
Wolfram
MathWorld
)
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"
Division of the Opposite Side by an Angle Bisector
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DivisionOfTheOppositeSideByAnAngleBisector/
Contributed by:
Jay Warendorff
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Euclid's Elements
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSG-SRT.B.4