   Chapter 10.3, Problem 24E 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.If ▱ R S T V , suppose that R T = V S . State an equation that relates s ,   t , and v . To determine

To state:

An equation that relates s,t, and v for the given figure.

Explanation

The given figure is shown below.

It is given that RT=VS.

Also, the diagonals bisect each other.

Hence, the product of their slopes is -1.

That is mRT·mVS=-1

Finding the slope of RT.

x1,y1=R0, 0

x2,y2=Ts+t, v

Formula for slope of the line containing two points.

Slope is denoted by m.

m=y2-y1x2-x1

Here x1x2

Substituting the x and y co-ordinates.

mRT=v-0s+t-0

Simplifying,

mRT=vs+t

Finding the slope of VS.

x1,y1=Vt, v

x2,y2=Ss, 0

Substituting the x and y co-ordinates

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