Angle Bisectors and Proportionality

Line AD bisects angle A (ie. cuts the angle in half). [br]Drag points B and C to manipulate the diagram. [br]The spreadsheet at the right shows the lengths of the sides AB, AC, BD, and CD as well as the ratios. [br][br][color=#3c78d8][b]AB/AC shows the ratio of the side lengths on either side of the bisected angle, A.[br][/b][/color][b][color=#ff7700]BD/CD shows the ratio of the two segments created by the angle bisector on the 3rd side.[br][/color][/b][br][b]Are the ratios AB/AC and BD/CD always equal?[br][/b]

Information: Angle Bisectors and Proportionality