00:01
We need to determine that the three points given the negative 2, negative 5, the 1 7, and the 315 form a right triangle.
00:09
So in order to do that, we need to find the distance between the three sets of points.
00:16
So the first thing we're going to do is label.
00:18
So this one's x.
00:20
I want colors.
00:23
This is x1, y1, and this one's x2, y2.
00:29
So when we replace, we have distance is equal.
00:32
2 square root or x2 minus x1 so x2 is going to be 1 minus a negative 2 and then we do the same thing for the y's about y2 which 7 minus a negative 5 we square that so that becomes 1 minus a negative 2 that becomes 3 squared plus 7 minus a negative 5 that becomes 12 squared and so we do 3 squared plus 12 squared.
01:17
That comes out to the square root of 153.
01:23
So then we do the same thing for the second point.
01:26
That's a point.
01:26
So this is x1, y1.
01:29
This is x2y2.
01:31
So we replace into the formula.
01:37
So we have 3 minus, it's in the colors, 3 minus 1.
01:56
1 squared plus 15 minus 7 squared.
02:11
So that beginning becomes 2 squared plus 8 squared.
02:18
So my distance is 2 squared plus 8 squared plus a square to 68...