I students in this video, let's discuss the special case of Right Angle Triangle, let's see how to
find the saken center if you know the coordinates of the three vertices of the right angle triangle.
All right.
Over here, I have a right angle triangle.
Right.
So this angle over here is equal to 90 degrees.
And remember, the side opposite the 90 degree angle is called the hypotenuse.
So this is the hypotenuse.
All right.
Now in the right angle triangle, the midpoint of the hypotenuse will be the sock'em center.
Right.
So from this point as the center, you are able to draw a circle that passes through the three pieces
of the triangle.
All right.
Now, so if you are given the three vertices, you can easily find the midpoint of this hypotenuse and
that gives you the circle center.
So, for example, if this is or comma five and this is two comma seven, I'm just taking random values
to find the midpoint.
You just need to add four and two and divide it by two.
That would be four plus two by two comma and then five plus seven by two.
Right.
That's five plus seven by two over here.
So if this is this point and this is this point, and if you know that this angle is ninety degrees,
then the Sock'Em Center would be six by two.
That's three and twelve by two.
That's six.
That would be the answer.