A centroid refers to the center of an object and it is the center of gravity.The point of intersection of the three medians.Ī median refers to the straight line that joins the midpoint of a side with the opposite vertex. The orthocenter of a right-angled triangle lies on the vertex of the right angle.The orthocenter of an obtuse triangle lies outside the triangle.The orthocenter of an acute triangle lies inside the triangle.In the case of other types of triangles, the position of the point where all the three altitudes intersect will vary. For an equilateral triangle, the centroid will be the orthocenter. The orthocenter is different for various triangles such as isosceles, scalene, equilateral, and acute, etc. Point H is the orthocenter of this triangle because it is the point where all the three altitudes of the triangle are intersecting each other. The point where all the three altitudes of the triangle meet or intersect each other.Īn altitude or height is each of the perpendicular lines drawn from one vertex to the opposite side (or its extension). The point of intersection of the three heights of a triangle The orthocenter of a triangle is defined as: In the next section, we will discuss the orthocenter, centroid, circumcenter, and incenter of a triangle. The side opposite to the largest interior angle of the triangle is always the longest side of the triangle.The side opposite to the smallest interior angle of a triangle is always the shortest side of the triangle.The difference between the length of the two sides of the triangle is always lesser than the length of the third side.If the lengths of two sides of a triangle are added together, then the resultant sum is always greater than the length of the third side.The aggregate of consecutive interior and exterior angles is always equal to 180 degrees which means they are supplementary.The sum of exterior angles of the triangle is always equal to 360 degrees.
The sum of three interior angles of a triangle is always equal to 180 degrees.