Chapter 5.3, Problem 40E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

In the figure,
*AB* if

To determine

**To find:**

The length of the side *AB *if the given sides are

Explanation

**Definition:**

*AA*:

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

**CSSTP:**

Corresponding sides of similar triangles are proportional.

**Description:**

The given figure is shown below.

Figure 1

From the given figure, it is observed that there are two triangles *ABC *and *ADB*.

Now draw the two triangles separately as shown below.

Figure 2

Figure 3

Given that *A *is common for both the triangles. So by identity

From the above mentioned *AA *definition, the two triangles *ABC *and *ADB *are similar since the two angles of one triangle are congruent to two angles of another triangle. Hence,

From the definition of CSSTP, corresponding sides of similar triangles are proportional.

That is,

It is given that

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