Chapter 8.1, Problem 17E

### 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 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)Â 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,

AreaÂ ofÂ givenÂ figure=areaÂ ofÂ rightÂ triangle(A1)+areaÂ ofÂ rightÂ triangle(A2)

From the right â–³ABD

By pythagorean theorem,

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

25+(DB)2=169

25+(DB)2+(âˆ’25)=169+(âˆ’25)

(DB)2+25âˆ’25=169âˆ’25

(DB)2=144

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