
The point of concurrency of the median of a triangle is known as……….
(A). Incentre
(B) centroid
(C) orthocenter
(D) None
Answer
591.9k+ views
Hint: In any triangle there are 3 medians, which are necessarily concurrency.
We have to remember the basic concepts of triangle geometry and different points of concurrencies in a triangle.
Complete step-by-step answer:
As it is known that the medians of a triangle intersect with each other at a single point and that point is known as the centroid of the triangle which divides each of the median in the ratio $2:1$ and represented by G .
Incentre on the other hand is the point of intersection of the internal angle bisectors.
Orthocenter is the intersection point of the altitude. Refer the following diagram to see diagrammatic representation.
Option B is the correct answer.
Note : An additional thing to remember would be the ratio in which the centroid divides the medians which is $2:1$. Also, a circle circumscribing a triangle has its center at the orthocenter of the triangle and a circle inscribed in a triangle has its center at the incenter of the triangle.
We have to remember the basic concepts of triangle geometry and different points of concurrencies in a triangle.
Complete step-by-step answer:
As it is known that the medians of a triangle intersect with each other at a single point and that point is known as the centroid of the triangle which divides each of the median in the ratio $2:1$ and represented by G .
Incentre on the other hand is the point of intersection of the internal angle bisectors.
Orthocenter is the intersection point of the altitude. Refer the following diagram to see diagrammatic representation.
Option B is the correct answer.
Note : An additional thing to remember would be the ratio in which the centroid divides the medians which is $2:1$. Also, a circle circumscribing a triangle has its center at the orthocenter of the triangle and a circle inscribed in a triangle has its center at the incenter of the triangle.
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