At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Can you provide an example?
there is no example...
How did you come to know all these things? teacher ? If so explain what did she/he do in class?
yes a teacher and if i asked her, she would probably think im cheating on the test...
There is no direct relationship between graphs and pythagorean theorem. You can draw graphs without pythagoras.
well yhe wuestion is confusing
Oh. Okay. Do you know how to draw a graph from a given equation. (eg: y = 2x )
okay. graph is a sketch of a equation. Like the one I gave before. You can represent it through a graph.
So a graph has 2 axis. We call them X and Y
now, In order to draw our graph . You need 2 things. They are values of x and y. Otherwise you can draw it.
think about: y = 2x
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
I will explain you when you come back:)
Hey. Are you following me so far?
yes, i know how to make a graph but how do you use it on a graph or when making a graph?
how do you use the Pythagorean therom on a graph...
Well, You can get a distance between 2 points using pythagorean theorem
Is that what you are asking?
okay. You know that it is difficult to get a distance between two points when you are given coordinates of those points.
The easiest way to go for it, using this pythagorean thearem. let me give you an example
|dw:1439218976248:dw| okay. now you want to know the distance of pq
|dw:1439219099674:dw| if you know (a) and (b) , You will find distance pq by using pyth.. theorem
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
|dw:1439219429465:dw| It is clear that these lines are 1 and 4 long. is it?
|dw:1439219749996:dw| now go back to this one. can you guess (a) ?
you can find (a) from 1 and 4
(a) is 3
if you think of (b) in that way , you will get (b). give it a try:)
did you understand it?
think about heights of p and q. and get the difference of p and q
I will draw you again
|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
(d) is 5 (c) is 1
okay, So if I ask you what is the difference of those points. what would it be?
difference of heights
you just subtract 1 from 5 right?
yes. So it is 4 5-1 =4
(b) is 4
so now we know (a) and (b)
(a) = 3 (b) = 4
|dw:1439220657934:dw| can you see it is a rectangular triangle and one can find pq
pythagorean thearem is |dw:1439220894648:dw|
that makes sence
yep. pq is square root( 3^2 + 4 ^2)
3^2 + 4 ^2 = 9 + 16
which is 25, and get the squre root of 25 is 5
pq is 5
what is the ^
3^2 = 3 to the power of 2
what is the "^" sighn