In this video, let's discuss the owner line of a triangle.
Now, let's say you have a triangle over here and the oilor line of a triangle is the line through the
centroid circle center and auto center.
Remember, Auto Center is the meeting point of Altitude's Sock'Em Center is the meeting point of perpendicular
bicyclers.
And Centroid is the meeting point of mutant's right now when if you find these three points and you
join them by a line, that line is called the Euler Line.
So let's try to understand that over here.
Let's say at this point over here is the auto center.
This is the centroid and this is the circle center of this given triangle.
Now, let's draw a line through these three points.
Now, this line is called the oilor line.
That is an interesting property about the inner line.
Let me mark this point.
The speaker and R B Q divided by Q are is equal to two by one.
So this is true for the oilor line.
That is, the centroid divides the line.
Joining the auto center and the circle center in the ratio of two is the one over here.
Q Is the centroid and the line.
Joining the auto center and circum center is p r.
The P R is divided in the ratio of two is to one by the point.
Q.
Remember, this is true for a non equilateral triangle, because we have seen that for an equilateral
triangle, these three points coincide.