   Chapter 10.1, Problem 28E 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 coplanar points A ,   B , and C , suppose that you have used the Distance Formula to show that A B = 5 ,   B C = 10 , and A C = 15 . What can you conclude regarding points A ,   B , and C ?

To determine

What can you conclude regarding points A, B, and C, suppose that AB=5, BC=10, and AC=15 for the coplanar points.

Explanation

Given coplanar points,

A, B, and C.

The length of AB=5

The length of BC=10

The length of AC=15

Definition of coplanar points:

Coplanar points are three or more points lie in the same plane. Recall that a plane is a flat surface which extents without end in all direction.

The distance between the points A and B is 5.

The distance between the points B and C is 10.

The distance between the points C and A is 15.

Let us consider the all the given points A, B, and C lie on the same plane as shown in the figure,

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