   Chapter 8.2, Problem 11E 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

For Exercises 11 and 12, use Brahmagupta’s Formula.For cyclic quadrilateral A B C D , find the area if A B   =   39 mm, B C   =   52 mm, C D   =   25 mm, and D A   =   60 mm. To determine

To Find:

The area of a cyclic quadrilateral using Brahmagupta’s Formula.

Explanation

Formula Used:

For a cyclic quadrilateral with sides of lengths a,b,c and d, the area A is given by

A=(s-a)(s-b)(s-c)(s-d),

where s=12(a+b+c+d).

Calculation:

Consider, AB=a=39 mm, BC=b=52 mm CD=c=25 mm and DA=d=60 mm.

s=1239+52+25+60=88

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