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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.1, Problem 24E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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=(x2−x1)2+(y2−y1)2+(z2−z1)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=(7−5)2+(1−3)2+(3−4)2=4+4+1=9<

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Chapter 7.1,
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Chapter 7.1,
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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
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In problems 31-42, let. And be the universal set of natural numbers less than 11.Find the following. 35. ...

Mathematical Applications for the Management, Life, and Social Sciences

Consider randomly selecting a student at a large university, and let A be the event that the selected student h...

Probability and Statistics for Engineering and the Sciences

Use the Table of Integrals on Reference Pages 610 to evaluate the integral. 6. 02x24x2dx

Single Variable Calculus: Early Transcendentals

In Exercises 1324, prove the statements concerning the relation on the set Z of all integers. If x=y and 0z, t...

Elements Of Modern Algebra

Calculate the tax due on a three-acre parcel of land with an assessed value of $50,800. The property tax rate i...

Contemporary Mathematics for Business & Consumers

Change each common fraction to a decimal: 3089

Elementary Technical Mathematics

Given: UT bisects WUV,WU=9,UV=12,WV=9 Find: WT

Elementary Geometry For College Students, 7e

The following problems review material we covered in Section 4.7. Reviewing these problems will help you with t...

Trigonometry (MindTap Course List)

Rotated Curve Verify that if the curve whose polar equation is r=f() is rotated about the pole through an angle...

Calculus of a Single Variable

Proof Prove that the function is odd. f(x)=a2n+1x2n1++a3x3+a1x

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 25 and 26, complete each proof shown on page 160. Given: Equilateral ABC and D-B-C Prove: DAAC PRO...

Elementary Geometry for College Students

If a ball is selected at random from an urn containing three red balls, two white balls and five blue balls, wh...

Finite Mathematics for the Managerial, Life, and Social Sciences

Sketching a Parametric Surface In Exercises 9-12, find the rectangular equation for the surface by eliminating ...

Calculus

Converting to Polar Coordinates: In Exercises 2932, use polar coordinates to set up and evaluate the double int...

Multivariable Calculus

Finding a Derivative In Exercises 79-84, find dy/dx by implicit differentiation. xy=x4y

Calculus (MindTap Course List)

The instantaneous rate of change of y = x3 + 3x at the point corresponding to x = 2 is: a) 10 b) 15 c) 2 d) 60

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Find for y defined implicity by .

Study Guide for Stewart's Multivariable Calculus, 8th

Suppose that a six-sided die is weighted so that any even-numbered face is twice as likely to land face up as a...

Introduction To Statistics And Data Analysis

A national study by Harris Interactive, Inc., evaluated the top technology companies and their reputations. The...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Find the distance between P and O(0,0). P(4,3)

College Algebra (MindTap Course List)

Identify the strengths and weaknesses of a multiple-baseline design and describe the circumstances in which it ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Social networking is becoming more and more popular around the world. Pew research Center used a survey of adul...

Statistics for Business & Economics, Revised (MindTap Course List)

Divide the following expressions as indicated. (12y2c34a3c2ac3)18ac

Mathematics For Machine Technology

Identify the two characteristics needed for a research study to qualify as an experiment.

Research Methods for the Behavioral Sciences (MindTap Course List)

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