The perimeter of the cm, and bisects and intersects at , where cm and cm. Find the lengths of and .
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.
Suppose the length of is . The length of would then be ,
or . Use these facts to solve for as follows:
Thus, since the value of is 16, the length of is , and the length of is .