   Chapter 5.CT, Problem 12CT Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In △ A B C ,   D E ⃡ | | B C - . If AD = 6, DB = 8, and AE = 9, find EC. To determine

To find:

The value of EC.

Explanation

Given, ABC,DE||BC¯.

AD = 6, DB = 8, and AE = 9

First, we have to prove ABC~DAE.

Here, DE||BC¯

Therefore the corresponding angles are equal.

If the corresponding angles of two triangles are equal then the triangles are said to be similar.

Hence, ABC~DAE

AD = 6, DB = 8, and AE = 9

AB=6

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