00:01
We need to determine if the vertices is negative 4, positive 3, 2, and 5, and negative 1 and negative 6 are the vertices of a right triangle.
00:09
So we need to find the distance between each pair so that we can use pythagorean theorem to determine if it's a right triangle or not.
00:16
So we're first going to label, this is x1, y1, x1, x1, y1, and then our second point is i'm going to label as x2y2s.
00:32
So we work with our first one.
00:33
So the distance is equal to the square root of x2, which is 2 minus a negative 4 squared plus y2, which is 5 minus 3 squared.
00:56
So that cleans up to be the square root of 6 squared plus 2 squared.
01:03
So that becomes 6 squared plus 2 squared.
01:08
That's the square root of 40.
01:12
We do the same thing for the second one.
01:14
So d is equal to the square root.
01:18
X2 is negative 1 minus 2 squared.
01:27
Colors didn't change.
01:30
Plus y2, which is negative 6 minus 5 squared.
01:43
We have negative 3 squared plus negative 11 squared.
01:48
So that comes out to be 9 plus 121.
01:52
That's the square root of 130.
01:56
Then we do our last one...