   Chapter 8.1, Problem 17E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 9 to 18, find the areas of the figures shown or described. To determine

To find:

The area of the figure.

Explanation

1) Formula:

Finding the area of the figure is followed by identifying the figure and find area with the suitable geometry formulae,

Area of the right triangle is given by,

A=12(ab) unit2

Where a and b are the length of the sides.

2) Calculation:

Given,

Here, the give figure is a compound figure of two right triangle.

Thus,

Area of given figure=area of right triangle(A1)+area of right triangle(A2)

From the right ABD

By pythagorean theorem,

(5)2+(DB)2=(13)2

25+(DB)2=169

25+(DB)2+(25)=169+(25)

(DB)2+2525=16925

(DB)2=144

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