Let's do this question, find the coordinates of the Starcom Center of a triangle with what is this
one comma for three, comma, four and three, comma, minus three.
All right.
What's the video?
Give it a try and then let's do it together.
All right.
We are back.
Let's do it together.
The first step is you need to check whether this is a right angle triangle or not.
For that, let's plot these three points.
I have my X's over here.
Let me mark some points on the axis.
Now, let me mark the given points.
So this is one comma for right now.
This is three comma four and this is three comma minus three.
Now you can see that this forms the right angle triangle right over here.
It's for the right corner is four and this is four.
So this is a straight line here, which is parallel to the x axis.
And here you have three.
And over here also you have three.
So this is also a line which is parallel to the Y axis.
So you can see that this angle over here is a 90 degree angle.
You can also check by finding this slope and this slope.
And when you multiply them, you will get minus one.
Right, because we know that in the case of two perpendicular lines, the slopes, when they are multiplied,
you will get the entries minus one.
Right.
All right.
So this is a right angle triangle.
Now, we know that in a right angle triangle, the circle center is the midpoint of the hypotenuse.
But over here, this is the hypotenuse, right?
The longest side is the hypotenuse or the side opposite.
The right angle is the hypotenuse to what would be the midpoint of this side.
That would be one plus three by two comma or plus minus three by two.
Let me right that over here.
That's one plus three by two and four plus minus three by two.
And that is equal to two comma.
One by two.
That is the answer.
So this is these are the center of this triangle.