Chapter 14.3, Problem 10PSB

To determine

To find the kind of triangle in which centroid lies outside the triangle.

Answer to Problem 10PSB

No such triangle exists.

Explanation of Solution

Given:

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

Calculation:

The center of gravity can’t lie outside the scope of the object, so this type of triangle doesn’t exist in which the centroid lies outside the triangle.