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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 10.3, Problem 27E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 23 to 28, find the equation (realtionship) requested. Then eliminate fractions and square root radicals from the equation.

Suppose that â–³ A B C is an equilateral triangle. State an equation that relates variables a and b .

Chapter 10.3, Problem 27E, In Exercises 23 to 28, find the equation realtionship requested. Then eliminate fractions and square

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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