In the triangle , cm,
cm, and cm.
Given that bisects and intersects at ,
determine the length of .
In the figure, bisects in . The bisector of an interior angle of a triangle divides the opposite side of the triangle into two parts. The ratio of the lengths of these parts is equal to the ratio of the lengths of the other two sides of the triangle. First, use this fact to solve for the length of as follows:
If bisects in and intersects at , then . Now use this fact to determine the length of .
Thus, the length of is cm.