Question

Select all the true statements.A.A circumcenter can be outside of its triangle.B.An orthocenter can be outside of its triangle.CAn incenter can be outside of its triangle.D.A centroid can be outside of its triangle.E.A circumcenter, orthocenter, incenter, or centroid can be either inside or outside of its triangle.

Answer 1

.B.An orthocenter can be outside of its triangle

Explanation:

The orthocenter of a triangle is the intersection of the point drawn perpendicular from the vertices of the triangle. While normal equilateral triangles for instance have their point of intersection drawn inside the triangle, the orthocenter of a triangle of an obtuse triangle is outside of the triangle. A right angled triangle has its orthocenter drawn at the vertex of the right angle and really inside the right angled triangle.