Question

The point of concurrency of three altitudes of a triangle is called its
A. incentre
B. circumcentre
C. centroid
D. orthocentre

Answer 1

Hint: The point of intersection of a triangle's three altitudes is named as the orthocentre of the triangle. The intersection points of the medians, the angle-bisectors and the perpendicular bisectors of the sides are named as the centroid, incentre and circumcentre respectively.

Complete step-by-step answer:
The orthocentre of a triangle is the intersection of the triangle's three altitudes.
The orthocentre is typically represented by the letter H.
The location of the orthocentre depends on the type of triangle.
If the triangle is acute, the orthocentre will lie within it.
If the triangle is obtuse, the orthocentre will lie outside of it.
Finally, if the triangle is right, the orthocentre will be the vertex at the right angle.

Hence, option (D) is correct.

Note: Incentre: The incentre is the centre of the incircle of a triangle. The corresponding radius of the incircle is known as the inradius. The incentre can be constructed as the point of intersection of the angle bisectors of the triangle.
Centroid: The point, at which the three medians of the triangle intersect, is known as the centroid of the triangle. (The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.) The centroid of the triangle separates the median in the ratio of $$2:1$$.
Orthocentre: The circumcentre is the centre of a triangle's circumcircle. It can be found as the point of intersection of the perpendicular bisectors of the triangle.