Problem

Two triangles are similar if they have the same shape (but not necessarily the same size)....

Two triangles are similar if they have the same shape (but not necessarily the same size). Similar triangles have sides that are proportional. The figure shows two similar triangles. Notice that the ratios of the corresponding sides all equal

If we know that two triangles are similar, we can set up a proportion to solve for the length of an unknown side.

In Exercise, find the lengths x and y as needed in each pair of similar triangles.

Complete the proportion and then solve for x.

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