Question

The point O lies inside a triangle PQR such that $\Delta OPQ,\Delta OQR$ and $\Delta ORP$ are equal in area. Then, the point O is called as

• A. incentre
• B. centroid
• C. circumcentre
• D. orthocentre

Answer 1

The correct option is B centroid

Given that the triangles are equal in area.

i.e $ar\left(POQ\right)=ar\left(QOR\right)$

$=ar\left(POR\right)$

$\therefore O$ is the centroid of $PQR$.