Chapter 5.3, Problem 27E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 25 to 28, *

*Exercises 25-28*

Given: |
AC = 10, DE = 12, AD = 4. |

Find: |
DB |

To determine

**To find:**

The side *DB *when the given sides are *AC *= 10, *DE *= 8, *AD* = 4 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 *= 10, *DE *= 8, *AD* = 4.

Find the side *DB*.

Consider the first and last two pairs of proportions *DB*.

From Figure 1, it is observed that

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