How to Find the Distance Between Two Points - The distance formula made easy! - Free Educational videos for Students in K-12

How to Find the Distance Between Two Points - The distance formula made easy! - By tecmath

Transcript


00:0-1	Good day . Welcome to Tech Math channel . What
00:01	we're going to be having a look at in this
00:02	video is how to work at the distance between two
00:05	points on a linear equation . A really simple thing
00:08	, how to do in this video . Also ,
00:10	what we'll do is explain why this works just so
00:12	you truly understand what you're doing and I'll tell you
00:15	it will make life really easy when you're trying to
00:17	remember how to do this . Okay , so first
00:21	off , let's have a look at a couple of
00:22	points . We're gonna go between the points of minus
00:25	one on the X two minus two . So minus
00:28	one minus two to the point of two and 2
00:33	, So -1 -2 is here and to to is
00:38	here . So we're going to work out the distance
00:40	between these two points here . So a couple of
00:45	things that we need to work out when we do
00:47	this is the following . The first thing we need
00:49	to work out is how far has this graph risen
00:52	or fallen or how far between these points were going
00:55	up or down ? I guess what you could call
00:58	the rise . Um So how far have we gone
01:02	between minus two and two ? We've gone up 1234
01:06	So we have a rise of four . The second
01:09	thing we need to work out is how far across
01:12	that . We've gone from one point to the other
01:13	. So we've gone from -1-2 . So from here
01:17	to here , this is our run . And you
01:20	can see from -1-2 , we've gone across three .
01:24	Are we going to use these to work out how
01:27	far uh this particular distances ? And you might have
01:31	, you might be looking to Australia . I don't
01:32	think , I don't know this how this will work
01:33	. This is going to work because of pythagoras theorem
01:36	. That is I squared plus B squared equals C
01:41	squared . That is to say if we were to
01:44	get this side and square it and this side and
01:47	square it and add those two answers together . But
01:49	it be the same as this side here , squared
01:52	. So I can rearrange this and say that C
01:55	is equal to the square root of a squared plus
02:00	B squared . Ok . All I've done is I've
02:02	square root at this and so I've had to square
02:04	at this and it's put to sea all by itself
02:07	. So , another way of writing this , as
02:09	you might think , well , okay , I could
02:11	write this as this distance here is equal to square
02:16	root of the rise squared plus the run squared .
02:23	Ok . We're going to get the right squared .
02:25	The run square . We're gonna add them together and
02:28	square in the answer . And that will tell us
02:30	this distance here . Okay , So let's do that
02:34	. So the rise , we've gone up four four
02:37	squared . Okay , we've gone across three , three
02:43	squared , We're gonna add those together and Then square
02:48	root it . So four squared is 16 . three
02:52	squared is nine square to those , which is equal
02:57	to 16 plus nine . The square root of 25
03:01	. So you're very close to working on our answer
03:04	. The square root of these guys , the square
03:06	of 25 is five . This distance here is five
03:10	. So that's how you work this out . Really
03:12	simple , right ? You just get the rise and
03:14	you square that you get the run and you square
03:16	that you add them together and then you square your
03:19	answer , just like you do in pythagoras theorem .
03:21	Okay , so it's quite a simple thing . I'm
03:24	going to go through another example of these just to
03:27	make sure you're okay ? So the example we're going
03:29	to have a look at is where we're going to
03:30	go from the point of minus three , one across
03:34	to the point of what ? About four and four
03:38	. Okay , so let's plot these first off ,
03:40	we have minus 3123 back and one which is up
03:45	one and four and four . So 1234 and up
03:49	41234 which would be around about here . Okay ,
03:55	And so we're going to work at the distance between
03:57	these two points here . Okay , so this distance
04:01	to work this out , we're gonna go see is
04:04	equal to the square root . See if you can
04:07	remember this of the rice squared plus the run squared
04:13	. So how far have we gone up here ?
04:15	This is this distance here , We have gone From
04:20	1-4 . Okay , so we've gone up three are
04:24	rise is three , which we're going to square .
04:27	How far across have we gone ? We've gone from
04:29	negative 3-4 . So we've gone across three and then
04:32	we got another four . So that's seven . So
04:37	plus seven squared . Okay , We're going to add
04:40	those together and square it R . Answer . This
04:43	is equal to what's three square nine . seven sq
04:48	49 . We're gonna square root . That's once we
04:51	had them together . It's a nine plus 49 is
04:53	58 . So the square root of 58 is our
04:57	answer and your teacher might allow you to leave you
04:59	leave it like this . You can take this a
05:01	step further . You could quickly work out the square
05:04	root of 58 and the answer when you do that
05:06	, it's going to be About 7.7 . Okay ,
05:11	so that's the way you go about working at the
05:12	distance between two points on a linear equation . Really
05:16	, really simple . Okay . Uh , anyway ,
05:19	hope you enjoyed this video . And I'm looking forward
05:21	to us seeing you next time . Okay . Bye
00:0-1	.

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How to Find the Distance Between Two Points - The distance formula made easy! is a free educational video by tecmath.

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