   Chapter 5.6, Problem 10E 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

Given: D E ↔ ∥ B C , ¯ A D = 6 , D B = 10 , A C = 20 Find: E C To determine

To find:

EC.

Explanation

Given:

Theorem used:

If a line is parallel to one side of a triangle and intersects other two sides, then it divides these sides proportionally.

Formula used:

If ab=cd then a+bb=c+dd.

Calculation:

Given: DEBC¯

Since if a line is parallel to one side of a triangle and intersects other two sides, then it divides these sides proportionally.

We know that, if ab=cd then a+bb=c+dd.

From the figure, we see that AE+EC=AC

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