The orthocentre of a triangle is the point of concurrency of its:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → altitudes
An altitude of a triangle is the perpendicular from a vertex to the opposite side. The three altitudes of any triangle meet at one point, the orthocentre (from the Greek orthos, “straight, at right angles”).
Why the other options are incorrect
Option (1) medians — Incorrect. The medians, joining each vertex to the midpoint of the opposite side, meet at the centroid.
Option (3) right bisectors of sides — Incorrect. The perpendicular bisectors of the sides meet at the circumcentre, the centre of the circle through the three vertices.
Option (4) bisectors of angles — Incorrect. The angle bisectors meet at the incentre, the centre of the circle that touches all three sides.