   Chapter 8.2, Problem 10E ### 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 and 10, use Heron’s Formula.Find the area of a triangle whose sides measure 10 cm, 17 cm, and 21 cm.

To determine

To Find:

The area of a triangle using Heron’s formula.

Explanation

Formula Used:

If the three sides of a triangle have lengths a,b and c then the area A of the triangle is given by A=s(s-a)(s-b)(s-c),

where the semi perimeter of the triangle is s=12(a+b+c).

Calculation:

Consider, AB=a=10,BC=b=17 and AC=c=21.

s=1210+17+21=24

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