/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 4 Find the distance between the tw... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q. 4 (page 526)

Find the distance between the two points. If necessary, you may draw graphs but you shouldn鈥檛 need to use the distance formula.

  1. (0, 0) and (3, 4)

Short Answer

Expert verified

The distance is 5.

Step by step solution

01

Step-1 – Given

The given points are (0, 0) and (3, 4).

02

Step-2 – To determine

We have to find the distance between the two points without using distance formula.

03

Step-3 – Calculation 

Let, the coordinate ofAx1,y1isA0,0andBx2,y2isB3,4

Let T be the point where the horizontal line through A and vertical line through B meets.

So, the coordinate of Tisx2,y1=3,0

Then,

AT=x1鈭�x2AT=0鈭�3AT=鈭�3AT=鈭�3And

BT=y1鈭�y2BT=0鈭�4BT=鈭�4BT=鈭�4

Distances can not be negative. So, AT = 3 and BT = 4.

Using the Pythagorean theorem, we get:
AB2=AT2+BT2AB2=32+42AB2=9+16AB2=25AB=5

Hence, the required distance is 5.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(6, -6); (4, 3)

Show that the triangle with verticesA鈭�3,4,M3,1,andY0,2is an isosceles triangle.

In Exercises 4-9 state:

a. the coordinates of T.

b. the lengths of the legs of the right triangle.

c. the length of the segment shown.

In Exercises 27-32 find and then compare lengths of segments.

The vertices of triangle KAT and triangle JES are K(3, -1), A(2, 6), T(5, 1), I(-4, 1), E(-3, -6), and S(-6, -1). What word best describes the relationship between triangle KAT and triangle IES?

Find the slope of the line.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.