   Chapter 10.CT, Problem 10CT 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

For the quadrilateral A B C D of Exercise 9 to be a rhombus, it would be necessary that A B = A D . Using a , b , and c (as in Exercise 9), write the equation stating that A B = A D .

To determine

To state:

Write the equation for the rhombus stating that AB=AD.

Explanation

The quadrilateral in part (a) must be a rhombus.

The given figure is shown below.

It is given that AB=AD.

First find the distance AB.

From the figure it is observed that the distance AB=a.

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

x1,y1=A0, 0

x2,y2=Db, c

Formula for distance between two points

d=x2-x12+y2-y12

Substituting the x and y co-ordinates

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