Example 10
Given that following figures are similar, find .
Since corresponding sides are proportional we can write:
Let’s solve the first one to find
As we learned earlier, we can cross multiply to get
How about this problem?
Example 11
Find
Do you see similar triangles in this diagram? There are two triangles; small one within the
larger one. Do you see them? The smaller one’s base is
while the base of the larger one is
The height of the smaller triangle is 3.5 whereas the height of the larger one is 5.
We can use these two similar triangles to set up a proportion as follows.
(
) By solving this equation you will see
By cross-multiplying you will get
that
10