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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 10.CT, Problem 10CT
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Elementary Geometry for College St...

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

Solutions

Chapter
Section
Problem 1CT
Problem 2CT
Problem 3CT
Problem 4CT
Problem 5CT
Problem 6CT
Problem 7CT
Problem 8CT
Problem 9CT
Problem 10CT
Problem 11CT
Problem 12CT
Problem 13CT
Problem 14CT
Problem 15CT
Problem 16CT
Problem 17CT
Problem 18CT
Problem 19CT
Problem 20CT
Problem 21CT
Problem 22CT
BuyFindarrow_forward

Elementary Geometry for College St...

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

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

dAD=b-02+c-0

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