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High students in this video, let's learn how to find the distance between two points in the X Y plane.

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All right, over here, I have the access.

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OK, and let's take two points.

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That's point A and point B now point it has X, coordinate X and Y, coordinate wyvern and point B has

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X, coordinate x2 and Y coordinate Y to.

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Now we are trying to find the distance between a B that is the length of the nine segment A B now the

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distance between and B is given by the formula D equal to square root of x2 minus X one, the whole

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squared plus Y to minus Y one.

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The whole square.

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First, let's try to find the link between these two points and then we'll discuss why this formula

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is correct.

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All right.

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Now over here, we know that this is one and this is two.

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So let's take it as one, two.

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And similarly, let's take B.S. six, five.

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All right.

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Now let's try to find this distance between them.

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Let's plugging these values into this equation so we get these equal to square root of six minus one,

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the whole square.

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Right.

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This is six and this is one and five.

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Minus two.

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That's five.

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And this is two.

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The whole square.

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Now, it does not matter which one you take us one and which one you take us to.

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Right.

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Because we are taking the square.

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So even if you take one minus six and take the square, it'll still be twenty five and six minus one.

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The whole square is also twenty five.

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So the distance is equal to square root of five squared plus three square and that gives you square

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root of thirty four.

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All right.

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Now you can see that this equation over here is on the basis of the Pythagoras theorem right now.

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Why is that so.

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Let me draw this over here.

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OK, so you can see that over here you get the right angle triangle right now, what are the lengths

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of these sides?

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This side over here will be wide to minus Wyvern.

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Right over here you have five and this is two to five.

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Minus two gives you three.

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So this side is of length three.

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That's the three you have over here.

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And what about this over here, the extraordinary six.

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And over here, the X coordinate is one.

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So you have this length is six minus one.

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That is what you have over here, right?

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That's the five over here.

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That's why the distance between two points is given by this formula.

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That is a square root of X2, minus one, the whole square plus Y to minus Y one.

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The whole square.