Question

The point of concurrency of three altitude of a triangle is called its
A.Incenter
B.Circumcenter
C.Centroid
D.Orthocenter

Answer 1

Hint: First we have to know about altitude of a triangle. A line from a vertex of a triangle which is perpendicular to the opposite side of a triangle is known as altitude or height of a triangle. So, there are a total no. of three altitudes. Then, the point of concurrency is the intersection of or more lines at a point. Using this we can try to figure out the correct option.

Complete step-by-step answer:
We can find the point of concurrency of three altitudes of triangles.
But, we know that the altitude of a triangle is a perpendicular drawn from a vertex to its opposite side. So, it is clear to us that there are three vertices, there will be a total of three altitudes in a triangle.

Let us suppose a $\vartriangle ABC$ having altitude AA’, BB’ and CC’ intersecting at a common point say O.
We also know that the point of concurrency of three altitudes of a triangle is called orthocentre.
Hence, the point O is the orthocentre of $\vartriangle ABC$ .
Therefore, the correct option is (D).
Note: Remember the other terms related to a triangle like incenter, circumcenter and centroid and their definition. So, you can easily solve this kind of solution. Also, remember that the point of concurrency means a point where all the lines, at least three intersect at a common point.