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In this video, let's discuss the owner line of a triangle.

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Now, let's say you have a triangle over here and the oilor line of a triangle is the line through the

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centroid circle center and auto center.

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Remember, Auto Center is the meeting point of Altitude's Sock'Em Center is the meeting point of perpendicular

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bicyclers.

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And Centroid is the meeting point of mutant's right now when if you find these three points and you

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join them by a line, that line is called the Euler Line.

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So let's try to understand that over here.

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Let's say at this point over here is the auto center.

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This is the centroid and this is the circle center of this given triangle.

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Now, let's draw a line through these three points.

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Now, this line is called the oilor line.

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That is an interesting property about the inner line.

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Let me mark this point.

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The speaker and R B Q divided by Q are is equal to two by one.

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So this is true for the oilor line.

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That is, the centroid divides the line.

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Joining the auto center and the circle center in the ratio of two is the one over here.

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Q Is the centroid and the line.

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Joining the auto center and circum center is p r.

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The P R is divided in the ratio of two is to one by the point.

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Q.

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Remember, this is true for a non equilateral triangle, because we have seen that for an equilateral

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triangle, these three points coincide.