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

Angle Bisector (Wolfram MathWorld)

"Division of the Opposite Side by an Angle Bisector" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/DivisionOfTheOppositeSideByAnAngleBisector/

Contributed by: Jay Warendorff

Free Download: Mathematica Player--Runs all Demonstrations & more

Euclid's Elements
Plane Geometry
Triangles
High School Geometry
High School Mathematics

Browse all topics

Side Lengths Opposite Unequal Angles
The Ratio Theorem
Triangles: Acute, Right, and Obtuse
Triangles: Scalene, Isosceles, and Equilateral
Dividing a Right Triangle by the Altitude to the Hypotenuse
The Area of a Triangle as Half a Rectangle
Opposite Angles of a Quadrilateral in a Circle
Euclid's Proof of the Pythagorean Theorem
The Perpendicular Bisector of a Chord
Tangent Chord Angle

Email
Link to URL
Embed
Bookmark

Make a new version of this Demonstration
Upload a new Demonstration

Source page:

Name (optional)

Occupation (optional)

Organization (optional)

I use Mathematica:

often

occasionally

never

Country (optional)
Remember me

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »