00:01
In this question, we're going to match the distances with the respective endpoints coordinates.
00:08
So we have two columns, one for distance and the other one for the coordinates.
00:14
Now, let's check and see whether we'll find points that lie the same horizontal line or vertical line.
00:22
That's one of the easiest distance to obtain.
00:25
Now, for example, when you look at the vast set of coordinates a, you notice that they have the same ordinate that is the y values are the same meaning to get the distance we just need to apply the formula the absolute value of x1 minus x2 and in this case it's the absolute value of negative 3 minus 3 because you're just subtracting the x's and this would be the absolute value of negative 6 and the absolute value of negative 6 is simply 6 so for the first set of coordinates, we have 6 units so you can match that.
01:09
And let's go to the next one.
01:12
In the next one we notice that we have the same value of the x coordinate.
01:17
That means we just need to get the absolute value of y1 minus y2.
01:22
In this case we have 3 minus 11 which will be negative 8 and the absolute value of negative weight is 8 units so b goes with 8 units then we notice that the rest of the coordinates don't have much in x coordinates or y coordinate so we have to use the distance formula in both cases in all the cases so in how do we get the value of the distance between these two points it's going to get this we're going to get the square root of the difference between the x coordinates at this case it's minus 20 minus negative 22 squared and then add that to minus 18 minus negative 21 squared.
02:20
Okay, so it should be 21 squared.
02:26
Okay, let me just create some space.
02:31
Okay, so it needs now the difference in why is negative 18, 9, 9.
02:38
Minus negative 21 and then we square that.
02:44
Okay, so when we type this into, let's simplify this before we type into the calculator.
02:50
It's minus 20 plus 22, which will between 2 squared, plus this is minus 18 plus 21, which is 3 squared.
03:02
Okay, so square root of...