Determine the value of , given that cm, cm, cm, cm, and cm.
In and , corresponds
to , corresponds to , and
corresponds to . Also, side
corresponds to side , side
corresponds to side , and side
corresponds to side . The ratio of
to is , and the ratio of to
is . Since and
are vertical angles, they are congruent, so the SAS similarity
theorem stipulates that and must
be similar. Use the fact that the lengths of corresponding sides
of similar triangles are proportional to determine the value of
Thus, the value of is 10.