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Let's do this question, find the coordinates of the Starcom Center of a triangle with what is this

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one comma for three, comma, four and three, comma, minus three.

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All right.

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What's the video?

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Give it a try and then let's do it together.

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All right.

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We are back.

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Let's do it together.

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The first step is you need to check whether this is a right angle triangle or not.

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For that, let's plot these three points.

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I have my X's over here.

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Let me mark some points on the axis.

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Now, let me mark the given points.

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So this is one comma for right now.

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This is three comma four and this is three comma minus three.

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Now you can see that this forms the right angle triangle right over here.

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It's for the right corner is four and this is four.

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So this is a straight line here, which is parallel to the x axis.

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And here you have three.

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And over here also you have three.

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So this is also a line which is parallel to the Y axis.

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So you can see that this angle over here is a 90 degree angle.

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You can also check by finding this slope and this slope.

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And when you multiply them, you will get minus one.

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Right, because we know that in the case of two perpendicular lines, the slopes, when they are multiplied,

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you will get the entries minus one.

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Right.

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All right.

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So this is a right angle triangle.

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Now, we know that in a right angle triangle, the circle center is the midpoint of the hypotenuse.

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But over here, this is the hypotenuse, right?

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The longest side is the hypotenuse or the side opposite.

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The right angle is the hypotenuse to what would be the midpoint of this side.

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That would be one plus three by two comma or plus minus three by two.

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Let me right that over here.

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That's one plus three by two and four plus minus three by two.

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And that is equal to two comma.

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One by two.

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That is the answer.

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So this is these are the center of this triangle.