   Chapter 10.3, Problem 27E 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 Exercises 23 to 28, find the equation (realtionship) requested. Then eliminate fractions and square root radicals from the equation.Suppose that △ A B C is an equilateral triangle. State an equation that relates variables a and b . To determine

To state:

An equation that relates a and b for the given figure.

Explanation

The given figure is shown below.

For an equilateral triangle, all sides are equal in length.

AB=BC=AC

Let us take any two sides and equate them.

AB=AC

To find AB, we have to use the distance formula.

x1,y1=A0, 0

x2,y2=B2a, 0

Formula for distance between two points

d=x2-x12+y2-y12

Substituting the x and y co-ordinates

dAB=2a-02+0-02

On solving this,

dAB=2a2+02

dAB=4a2

To find AC, we have to use the distance formula

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