1
00:00:00,520 --> 00:00:07,510
I students in this video, let's discuss the special case of Right Angle Triangle, let's see how to

2
00:00:07,510 --> 00:00:13,840
find the saken center if you know the coordinates of the three vertices of the right angle triangle.

3
00:00:13,990 --> 00:00:14,470
All right.

4
00:00:14,590 --> 00:00:16,900
Over here, I have a right angle triangle.

5
00:00:17,050 --> 00:00:17,350
Right.

6
00:00:17,500 --> 00:00:20,060
So this angle over here is equal to 90 degrees.

7
00:00:20,170 --> 00:00:24,850
And remember, the side opposite the 90 degree angle is called the hypotenuse.

8
00:00:24,880 --> 00:00:26,120
So this is the hypotenuse.

9
00:00:26,590 --> 00:00:27,070
All right.

10
00:00:27,280 --> 00:00:33,760
Now in the right angle triangle, the midpoint of the hypotenuse will be the sock'em center.

11
00:00:33,910 --> 00:00:34,240
Right.

12
00:00:34,450 --> 00:00:41,950
So from this point as the center, you are able to draw a circle that passes through the three pieces

13
00:00:42,160 --> 00:00:43,480
of the triangle.

14
00:00:43,780 --> 00:00:44,230
All right.

15
00:00:44,440 --> 00:00:50,980
Now, so if you are given the three vertices, you can easily find the midpoint of this hypotenuse and

16
00:00:50,980 --> 00:00:52,500
that gives you the circle center.

17
00:00:52,690 --> 00:01:01,210
So, for example, if this is or comma five and this is two comma seven, I'm just taking random values

18
00:01:01,420 --> 00:01:02,530
to find the midpoint.

19
00:01:02,540 --> 00:01:05,230
You just need to add four and two and divide it by two.

20
00:01:05,440 --> 00:01:10,000
That would be four plus two by two comma and then five plus seven by two.

21
00:01:10,330 --> 00:01:10,620
Right.

22
00:01:10,660 --> 00:01:12,370
That's five plus seven by two over here.

23
00:01:12,640 --> 00:01:18,340
So if this is this point and this is this point, and if you know that this angle is ninety degrees,

24
00:01:18,610 --> 00:01:21,550
then the Sock'Em Center would be six by two.

25
00:01:21,550 --> 00:01:23,860
That's three and twelve by two.

26
00:01:23,870 --> 00:01:24,820
That's six.

27
00:01:25,150 --> 00:01:26,710
That would be the answer.