Chapter 8.2, Problem 9E

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 and 10, use Heron’s Formula.Find the area of a triangle whose sides measure 13 in., 14 in., and 15 in.

To determine

To Find:

The area of a triangle whose sides measure 13 in., 14 in., and 15 in. using Heron’s formula.

Explanation

Formula Used:

If the three sides of a triangle have lengths a,Â 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).

Consider, a=13,Â b=14 and c=15.

s=1213+14+15=21.

Applying the values s,Â a,Â b and c in the formula, A=s(s-a)(s-b)(s-c)

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