   Chapter 7.1, Problem 24E ### 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.(5, 3, 4), (7, 1, 3), (3, 5, 3)

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 (5,3,4),(7,1,3) and (3,5,3).

Explanation

Given Information:

The vertices of the triangle, (5,3,4),(7,1,3) and (3,5,3).

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=(5,3,4),B=(7,1,3) and C=(3,5,3).

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

AB=(75)2+(13)2+(34)2=4+4+1=9<

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