The point of intersection of the altitudes of a triangle is called its:

Question

Accepted Answer

The correct option is 2:
To solve this problem, we need to recall the definitions of the various important points in a triangle.  * An **altitude** of a triangle is a line segment from a vertex to the opposite side (or to the extension of the opposite side) that is perpendicular to that side. Every triangle has three altitudes, one from each vertex.The point where all three altitudes of a triangle intersect is called the **Orthocentre**.

Let's consider a triangle $\triangle ABC$ with vertices $A$, $B$, and $C$.
Let $AD$ be the altitude from vertex $A$ to side $BC$.
Let $BE$ be the altitude from vertex $B$ to side $AC$.
Let $CF$ be the altitude from vertex $C$ to side $AB$.
The point where $AD$, $BE$, and $CF$ intersect is the orthocentre.

Therefore, the point of intersection of the altitudes of a triangle is called its Orthocentre.

The incorrect option is 1:
The Circumcentre is the point of intersection of the perpendicular bisectors of the sides of a triangle.

The incorrect option is 3:
The Incentre is the point of intersection of the angle bisectors of a triangle.

The incorrect option is 4:
The Centroid is the point of intersection of the medians of a triangle. A median connects a vertex to the midpoint of the opposite side.