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The Centroid

The point O l...

Question

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

A

incentre

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B

centroid

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C

circumcentre

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D

orthocentre

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Solution

The correct option is B centroid
Given that point $O$ lies inside the $△ P Q R$
Such that $△ O P Q = △ O Q R = △ O R P$
i.e the areas are equal,
$∴ O$ is centroid of $△ P Q R$

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