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what is the distance formula.blushindecision

Guest May 9, 2017
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 #1
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Distance formula: 

 

https://www.screencast.com/t/2b4GDp2N

 

Hope this helps! : )

Supergirl  May 9, 2017
 #2
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+3

I could just tell you....but I want to explain it, so that you don't have to just memorize it! laugh

 

Say we want to know the distance between these two points: (1, 2) and (4, 6)

The length of the purple line is the distance between them.

Hey! We can make a right triangle out of this, with the purple line as the hypotenuse. Now we can use the Pythagorean theorem to find the length of the purple line, which I called c.

32 + 42 = c2

25 = c2

5 = c

 

And the distance formula comes from the Pythagorean theorem.

(difference in x's)2 + (difference in y's)2 = (distance between the two points)2

 

\(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\text{distance between the two points}\)

 

And that is the distance formula! smiley

Here's a better explanation: https://www.youtube.com/watch?v=nyZuite17Pc

hectictar  May 9, 2017

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