   Chapter 8.2, Problem 12E 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   =   6 cm, B C   =   7 cm, C D   =   2 cm, and D A   =   9 cm. 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=6 cm,BC=b=7 cm CD=c=2 cm andAD=d=9 cm.

s=126+7+2+9=12

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