   Chapter 7.1, Problem 23E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Identifying Triangles In Exercises 23-26, find the lengths of the sides of the triangle with the given vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither.(0, 0, 0), (2, 2, 1), (2, -4, 4)

To determine

To calculate: The sides of the triangle and also find that triangle is a right tringle, an isosceles triangle, or neither, if the vertices of the triangle is (0,0,0),(2,2,1) and (2,4,4).

Explanation

Given Information:

The vertices of the triangle, (0,0,0),(2,2,1) and (2,4,4).

Formula used:

Distance formula in space, the distance (d) between two points, (x1,y1,z1) and (x2,y2,z2) is defined as,

d=(x2x1)2+(y2y1)2+(z2z1)2

Calculation:

Let the vertices of the triangle, A=(0,0,0),B=(2,2,1) and C=(2,4,4).

To find the sides AB of the triangle by the use of distance formula,

AB=(20)2+(20)2+(10)2=4+4+1

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