Chapter 8.1, Problem 53E

### 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

# Square DEFG is inscribed in right △ A B C , as shown. If A D = 6 and E B = 8 , find the area of square DEFG.

To determine

To find:

The area of the square DEFG.

Explanation

Finding the area of the square is followed by the geometric formula,

Area of the square A=s2Â unit2,

Where s is the length of the each side.

Calculation:

Given:

Square DEFG is inscribed in right â–³ABC, as shown below.

Let x be the length of each side of the equare.

By the triangle ABC,

Let x be the angle of LB and Î¸ be the angle of LA.

(i.e.) LA=LF and LB=LG

By the figure,

tanÎ¸=8x=x6

(i

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