   Chapter 5.6, Problem 7E 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: l 1 ∥ l 2 ∥ l 3 , A B = 4 , B C = 5 , D E = x , E F = 12 − x Find: x , D E , E F To determine

To find:

x,DE,EF.

Explanation

Given:

l1l2l3 and AB=4,BC=5,DE=x,EF=12x.

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: l1l2l3

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

ABDE=BCEF

Also given that AB=4,BC=5,DE=x,EF=12x.

Thus 4x=512x.

Now let us find the value of x.

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