Property of an angle bisector of a triangle Theorem: The bisector of an angle of a triangle divides the side opposit angle in the ratio of the remaining sides. Given : In A ABC, bisector of C interesects seg AB in the point E. AE CA EB To prove : Construction: = CB Draw a line parallel to ray CE, passing through the point B. Extend AC so as to intersect it at point D. Fig E B
