corollary to the side splitter theorem

example

1 answer

Corollary to the Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

For example, in triangle ABC, if line DE is drawn parallel to side AB, then it divides side BC and side AC proportionally. That means, the ratio of the lengths of the line segments on side BC is equal to the ratio of the lengths of the line segments on side AC, which can be written as BD/DC = AE/EC.