Angle Bisectors and Proportionality
Line AD bisects angle A (ie. cuts the angle in half).
Drag points B and C to manipulate the diagram.
The spreadsheet at the right shows the lengths of the sides AB, AC, BD, and CD as well as the ratios.
AB/AC shows the ratio of the side lengths on either side of the bisected angle, A.
BD/CD shows the ratio of the two segments created by the angle bisector on the 3rd side.
Are the ratios AB/AC and BD/CD always equal?