Distance formula | Analytic geometry | Geometry | Khan Academy

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How to find the distance between lines using the Pythagorean Formula

Missed the previous lesson?

Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.

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i know you probably hear this a lot but you teach way better than my teacher and i learned more right there than i have in like 2 75 minute math classes

joeybozanis
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Eight year old video and still helpful.

KSchnell
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God needs to create more people like you.

HotPepperLala
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I learned more with this 9 minutes than the school for 2 weeks (we only meet twice s week)

beadelacruz
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This really helped me i have my finals tomorrow and i appreciate that you do this for everyone.

TUGTactical
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I was in deep shit. you have saved my LIFE

epicface
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I've never heard anyone say that it's a waste of time to memorize the distance formula. But he's right!! All distance calculations I've ever done have been on graph paper; I can always make a right triangle!

stephenjones
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EDIT: In medicine now finishing up in 2024. Life is good!

XTheSpartanX
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Love these videos. Nothing is vague and the concept is shown concisely as well as practically.

samisiddiqi
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Awesomely explained I had my mind going crazy by looking at this distance formula and now after watching this video I am kind of loving

pariart
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This is so useful., makes maths look so easy 💯💀

BonoloFrans
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Teachers notes: puts random number

Me: Wh-

CLozano-xo
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I really appreciate this video because neither of my classmates want to help me understand this, thanks.

criscastro
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Wow thank you very much, I look like a genius to my classmates now, though I just watch videos and prefer to understand it. But you're videos isn't just a just, for this will help people who are savaged by mathematics.😉😉😉keep it up!!!

scaredyghosts
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My book made this look so difficult. Thank you for being helpful! Love you Khan Academy! <3

mistet
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First week on college and i still find this video useful, thanks!

EnGrYpLaYz
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You can also apply the distance formula to a three-dimensional system. sqrt((x1 - x2) + (y1 - y2) + (z1 - z2))

mosesvalentin
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Somehow never learned this and this came up in calc3 lol. This was exceptionally straight forward

wywlonl
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These videos have saved my life so many tiimes

emmaazizo
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You explain everything so much better than my math teachers

katto