Chapter 5.3, Problem 25E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 25 to 28*,

*Exercises 25-28*

*Given* *AC *= 8, *DE *= 6, *CB* = 6.

*Find:* *EB*

(HINT: *Let* *EB =* *x, and solve an equation.*)

To determine

**To find:**

The side *EB *when the given sides are *AC *= 8, *DE *= 6, *CB* = 6 and

Explanation

**Definition:**

**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 *DBE* and which is given that two triangles are similar.

Now draw the two triangles separately as shown below.

Figure 2

Figure 3

Since

That is,

It is given that *AC *= 8, *DE *= 6, *CB* = 6.

Find the side *EB*.

Consider the last two pairs of proportions *EB*

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