Chapter 14.3, Problem 8PSB

To determine

To find the kind of triangle in which orthocenter is the vertex of the triangle.

Answer to Problem 8PSB

The right triangle.

Explanation of Solution

Given:

Every triangle has a circumcenter, an orthocenter, a centroid and in-center.

Calculation:

The right triangle is the kind of triangle in which orthocenter is the vertex of the triangle because two of the altitudes of a right triangle are the sides.