Sage-Tips

What is the distance between the Orthocentre and circumcentre of a triangle?

AB=1.5 BC=2 ans AC=2.5 It is a right angle triangle with right angle at B.B is ortho center and midpoint of AC is circum center. The distance between them is 2.5/2=1.25 cm.

What is the relation between Orthocentre and circumcentre?

Theorem 1 The orthocentre, centroid and circumcentre of any trian- gle are collinear. The centroid divides the distance from the orthocentre to the circumcentre in the ratio 2:1. The line on which these 3 points lie is called the Euler line of the triangle.

How do you find the distance of the centroid of a triangle?

the centroid is always located in the interior of the triangle. The centroid is located 2/3 of the distance from the vertex along the segment that connects the vertex to the midpoint of the opposite side.

What is the distance between circumcentre and centroid?

In any triangle, the orthocenter, circumcenter and centroid are collinear. The squared distance between the centroid and the circumcenter along the Euler line is less than the squared circumradius by an amount equal to one-ninth the sum of the squares of the side lengths a, b, and c.

What is the difference between Circumcentre and Orthocentre?

the difference between the orthocenter and a circumcenter of a triangle is that though they are both points of intersection, the orthocenter is the point of intersection of the altitudes of the triangle, and the circumcenter is the point of intersection of the perpendicular bisectors of the triangle.

What is difference between Orthocentre and Circumcentre?

How do you find the Circumcentre Orthocentre?

The orthocenter is the point of intersection of three altitudes drawn from the vertices of a triangle. The circumcenter is the point of intersection of the perpendicular bisector of the three sides.

How do you find the Circumcentre orthocentre?