how do you sketch a graph and use the Pythagorean therom

- anonymous

how do you sketch a graph and use the Pythagorean therom

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- lochana

Can you provide an example?

- anonymous

there is no example...

- lochana

How did you come to know all these things? teacher ? If so explain what did she/he do in class?

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- anonymous

yes a teacher and if i asked her, she would probably think im cheating on the test...

- lochana

There is no direct relationship between graphs and pythagorean theorem. You can draw graphs without pythagoras.

- anonymous

well yhe wuestion is confusing

- lochana

Oh. Okay. Do you know how to draw a graph from a given equation. (eg: y = 2x )

- anonymous

no

- lochana

okay. graph is a sketch of a equation. Like the one I gave before. You can represent it through a graph.

- lochana

So a graph has 2 axis. We call them X and Y

- lochana

|dw:1439217997479:dw|

- lochana

now, In order to draw our graph . You need 2 things. They are values of x and y. Otherwise you can draw it.

- lochana

think about: y = 2x

- lochana

strangely we have these y and x parts in our equation. So we need to find some of x and y parts in numbers to draw our graph

- lochana

I will explain you when you come back:)

- anonymous

ok

- lochana

Hey. Are you following me so far?

- anonymous

yes, i know how to make a graph but how do you use it on a graph or when making a graph?

- anonymous

how do you use the Pythagorean therom on a graph...

- lochana

Well, You can get a distance between 2 points using pythagorean theorem

- lochana

Is that what you are asking?

- anonymous

yes

- lochana

okay. You know that it is difficult to get a distance between two points when you are given coordinates of those points.

- lochana

The easiest way to go for it, using this pythagorean thearem. let me give you an example

- lochana

|dw:1439218976248:dw|
okay. now you want to know the distance of pq

- lochana

|dw:1439219099674:dw|
if you know (a) and (b) , You will find distance pq by using pyth.. theorem

- lochana

now you need to get these (a) and (b) somehow in terms of coordinates of p and q. I will show you how it is done..
look at the coordinate of those again. and consider only x values for now

- lochana

|dw:1439219429465:dw|
It is clear that these lines are 1 and 4 long. is it?

- anonymous

yes

- lochana

|dw:1439219749996:dw|
now go back to this one. can you guess (a) ?

- lochana

you can find (a) from 1 and 4

- anonymous

k

- lochana

|dw:1439219878597:dw|

- lochana

(a) is 3

- anonymous

ok

- lochana

if you think of (b) in that way , you will get (b). give it a try:)

- lochana

|dw:1439220013389:dw|

- lochana

did you understand it?

- anonymous

im lost

- lochana

think about heights of p and q. and get the difference of p and q

- lochana

I will draw you again

- anonymous

ok

- lochana

|dw:1439220207256:dw|
d and c are values of heights. look at coordinates and think about what makes their heights. And it must be y values

- lochana

(d) is 5
(c) is 1

- lochana

okay?

- anonymous

ok

- lochana

okay, So if I ask you what is the difference of those points. what would it be?

- lochana

difference of heights

- lochana

you just subtract 1 from 5 right?

- anonymous

yeah

- lochana

yes. So it is 4
5-1 =4

- lochana

(b) is 4

- anonymous

yerp

- lochana

so now we know (a) and (b)

- lochana

(a) = 3
(b) = 4

- anonymous

k

- lochana

|dw:1439220657934:dw|
can you see it is a rectangular triangle and one can find pq

- lochana

pythagorean thearem is |dw:1439220894648:dw|

- anonymous

that makes sence

- lochana

yep. pq is square root( 3^2 + 4 ^2)

- lochana

3^2 + 4 ^2 = 9 + 16

- lochana

which is 25, and get the squre root of 25 is 5

- lochana

pq is 5

- anonymous

what is the ^

- lochana

3^2 = 3 to the power of 2

- anonymous

what is the "^" sighn

- lochana

\[3^{2}\]

- anonymous

oh ok

- lochana

bye

- anonymous

bye

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