00:02
So the circumcenter of a triangle is i'm just going to first just draw in the old triangle right here.
00:08
The circumcensor of this triangle is going to be where all of the perpendicular bisectors intersect.
00:13
So if i cut this segment in half, right? let's just say right here at a right angle.
00:19
I'm going to create a right angle right here, boom.
00:22
And then let's just say i cut this segment in half.
00:24
It looks like somewhere right here is the midpoint.
00:26
I'm going to create a right angle or near enough.
00:29
I mean, it's kind of hard to draw a right angle without a.
00:33
If you're just eyeball in it right so this circumcenter is going to be where all of these intersect all right and it's called the circumcensor because if i draw a circle centered at this point that goes through all of these points that's going to be the center of that circle that's the circumcenter so the properties of that circumcenter is that it is the center of the only circle that can be the center of the circle that can be circumscribed which means that it's it's it's it's going around that triangle.
01:07
So one of our answers is c, which i just described to you, right? we have this triangle, this circle that we've created around this triangle where it hits all the points of it.
01:17
Now, what's great about it is that it is equidistant from all three sides of this triangle.
01:22
This is going to be the same length as that.
01:25
All right.
01:26
It's going to be equidistant from all of the, oh wait, not from the sides of the triangle.
01:31
It's not equidistant from the sides of the triangle.
01:33
It's equidistant from the points of the triangle because each of these points lies on the radius of that circle.
01:41
So i was about to tell you the wrong answer because i misread the question.
01:44
It is not equidistant from all three sides...