Chapter 4.4, Problem 39E

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

In a gambrel style roof, the gable end of a barn has the shape of an isosceles trapezoid surmounted by an isosceles triangle. If AE=30 ft and BD=24 ft, find: (a) AS (b) VD (c) CD (d) DE

To determine

(a)

To Find:

AS

Explanation

Consider the following diagram.

From the given diagram, we know that BSâŠ¥AEâ€Šâ€Šâ€Šâ€Šandâ€ŠDTâŠ¥AEâ€Š.

Therefore, BD=ST.

It is given that BD=24ft.

Then, ST=24ft.

Since, ABDE is an isosceles trapezoid Î”ABSâ‰…Î”EDT.

Then, AS=TE

To determine

(b)

To Find:

VD

To determine

(c)

To Find:

CD

To determine

(d)

To Find:

DE

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