   Chapter 4.4, Problem 20E 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 trapezoid WXYZ with bases Z Y ¯ and W X ¯ , ZY = 12, YX = 10, WZ = 17, and ZD = 8. Find the length of base W X ¯ . Exercises 19, 20

To determine

To Find:

The length of the base of a trapezoid.

Explanation

Consider the following trapezoid.

Given: ZY = 12, YX = 10, WZ = 17 and ZD = 8.

Consider the ΔDWZ,

According to Pythagoras theorem, (WZ)2=(WD)2+(ZD)2.

Now, (WD)2=(17)2(8)2=28964=225.

Then, WD = 15.

Now consider the ΔEXY,

Here, ZD = YE = 8 and ZY = DE = 12

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