Given that cm, cm, cm, cm, and cm, find the lengths of and .
In and , corresponds to , corresponds to , and corresponds to .
Also, side corresponds to side , side corresponds to side , and side
corresponds to side . and are parallel line segments cut by transversals and .
If a line segment is drawn parallel to one side of a triangle and intersects the other two sides,
then it divides the other two sides into segments whose lengths are proportional. Now use this fact,
along with the fact that , to write another equation in the variables and .
Since and , it must be true that . Solve this equation for as follows:
Now solve either the equation or the equation for .
Since , calculate the length of as follows.
Next, calculate the length of .
Thus, the length of is cm, and the length of is cm.