is a triangle in which cm, cm, cm and bisects and intersects at . Determine the length of and
Suppose that the length of in the figure is . Since , the
length of would be . Also, 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
Thus, since , the length of is , and the length of is .