00:01
To find the distance between 1 .4 and minus 5 comma minus 1.
00:04
The first step is to imagine that these two points are on a plot like so.
00:08
1 .4 is over here and minus 5 comma minus 1 is over here.
00:11
What we're going to do is we're going to draw the distance between the two points with a red line like so.
00:21
Now we can imagine that this red line, which shows the distance, corresponds to a hypotenuse of a right triangle.
00:29
And i'm going to show that by drawing two additional lines, one in green, and the other in blue.
00:39
You can clearly see that this is a right triangle, and if we find the length of this hypotenuse over here, it shows the distance between the two points.
00:47
The way we're going to find the length of this hypotenuse is by using a formula called the pythagorean theorem, where a squared plus b squared is equal to c squared, and this a over here corresponds to the length of one of the legs, b corresponds to the other length, and c is the length of the hypotenuse, like so.
01:13
Now we can find the length of the distance, c, by square rooting both of the sides, so we get square root a squared plus b squared.
01:24
How are we going to find the value of a and b? well, the a over here corresponds to the distance between the x coordinates, like so, and the b corresponds to the distance between the y coordinates of the two points.
01:38
And finding that is quite simple.
01:41
All we have to do is subtract the values of each of the coordinates...