   Chapter 8.CT, Problem 8CT 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 ABCD, A B = 7 ft and D C = 13 ft. If the area of trapezoid ABCD is 60 ft2, find the length of altitude A E ¯ . To determine

To find:

The length of the altitude AE¯ of the trapezoid ABCD.

Explanation

Given:

In trapezoid ABCD, AB=7 ft and DC=13 ft., and the area of trapezoid ABCD is 60 ft2, find the length of altitude AE¯.

Theorem:

The area A of a trapezoid whose bases have lengths b1 and b2 and whose altitude has length h is given by A=12h(b1+b2).

From the given, in trapezoid ABCD, AB=7 ft., and DC=13 ft., and area of ABCD is 60 ft2.

Let b1=7 ft

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