Chapter 5.6, Problem 6E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# Given: l 1 ∥ l 2 ∥ l 3 ∥ l 4 , A B = 7 , B C = 5 , C D = 4 , E F = 6 Find: F G , G H , E H

To determine

To find:

FG,GH,EH.

Explanation

Given:

l1âˆ¥l2âˆ¥l3âˆ¥l4 and AB=7,BC=5,CD=4,EF=6.

Theorem used:

When three (or more) parallel lines are cut by a pair of transversals, the transversals are divided proportionally by the parallel lines.

Calculation:

Given: l1âˆ¥l2âˆ¥l3âˆ¥l4

Since when three (or more) parallel lines are cut by a pair of transversals, the transversals are divided proportionally by the parallel lines.

â‡’ABEF=BCFG=CDGH

Also given that AB=7,BC=5,CD=4,EF=6.

Thus 76=5FG=4GH.

Consider 76=5FG

FG=5â‹…67=307=427

Now consider 76=4GH

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