   Chapter 8.CR, Problem 4CR 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

In Review Exercises 4 to 5, draw △ A B C , if necessary, to solve each problem. Given: A B = 26 , B C = 25 ,  and  A C = 17 Find: A A B C :

To determine

To find:

AABC

Explanation

Heron’s Formula:

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(sa)(sb)(sc)

Where the semi perimeter of the triangle is

s=12(a+b+c)

Calculation:

Consider the ABC with AB=26,BC=25, and AC=17.

Let AB=c=26, BC=a=25, AC=b=17.

The figure is shown below:

Semi perimeter of the triangle s=12(a+b+c)

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