   Chapter 10.CR, Problem 19CR ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# Show that the triangle whose vertices are A 3 ,   6 , B - 6 ,   4 , and C 1 ,   - 2 is an isosceles triangle.

To determine

To prove:

The triangle formed by the vertices A3, 6, B-6, 4, and C1, -2 is an isosceles triangle.

Explanation

Isosceles triangle have two equal sides called legs and the third side is called base.

We have to prove that the distance between any two sides are equal.

The given vertices are A3, 6, B-6, 4, and C1, -2

First find the distance between A and B.

x1,y1=A3, 6

x2,y2=B-6, 4

Formula for distance between two points

dAB-=x2-x12+y2-y12

Substituting the x and y co-ordinates

dAB-=-6-32+4-62

On solving this,

dAB-=-92+-22

Squaring,

dAB-=81+4

dAB-=85

Now, find the distance between B and C

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 