Question

The orthocenter of a triangle may lie outside the triangle since the ____ may not intersect any side of the triangle.

A) Altitude
B) Perpendicular bisector
C) Circumcenter
D) Incenter

Answer 1

The orthocenter of a triangle may lie outside the triangle if the altitude does not intersect any side of the triangle.

Step-by-step explanation:

The orthocenter of a triangle may lie outside the triangle since the altitude may not intersect any side of the triangle. The altitude is a line segment drawn from a vertex of the triangle perpendicular to the opposite side. It is possible for the altitude to extend beyond the triangle, resulting in the orthocenter lying outside the triangle.