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Question

In $capital delta A B C comma$ $P$ is any point inside a triangle such that area of $capital delta B P C comma$ $capital delta A P C comma$ $capital delta A P B$ are equal Line AP cut BC at $M$ , area of $capital delta P M C$ is 5 $s q$ unit then area of $capital delta A B C$ is

20 sq units
25 sq units
30 sq units
none of these

The correct answer is: 30 sq units

$P$ is centroid of $capital delta A B C$
area of $capital delta A B C equals 6 cross times 5 equals 30 s q$ units.

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