Question

Which point of concurrency is NOT always inside a triangle? Check all that apply. A. circumcenter B. incenter C. orthocenter D. centroid

Answer 1

Answer:

Option A. is correct

Step-by-step explanation:

The circumcenter is a point of intersection of all the perpendicular bisectors of a triangle.

The incenter is a point of intersection of all the angle bisectors of a triangle.

The orthocenter is a point of intersection of all the altitudes of a triangle.

The centroid is a point of intersection of all the medians of a triangle.

The incenter, orthocenter, and centroid always lie inside a triangle.

However, a circumcenter does not always lie inside a triangle.

In an acute-angled triangle, the circumcenter may lie inside or outside the triangle.

So,

Option A. is correct