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Elementary Geometry for College St...

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

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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.

If M N P Q is a rhombus, state an equation that relates r , s , and t .

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

To determine

To state:

An equation that relates r,s, and t for the given rhombus.

Explanation

The given figure is shown below.

If the given figure represents a rhombus, it is necessary that MN=MQ.

First find the distance MN.

From the figure it is observed that the distance MN=r.

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

x1,y1=M0, 0

x2,y2=Qs, t

Formula for distance between two points

d=x2-x12+y2-y12

Substituting the x and y co-ordinates

dMQ=s-02+

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