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Medians of A B C intersect at G . If...

Medians of ` A B C` intersect at `G` . If `a r\ ( A B C)=27\ c m^2,` then `a r\ ( A B G C)=` `6\ c m^2` (b) `9\ c m^2` (c) `12\ c m^2` (d) `18 c m^2`

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In `triangleABC`,`AD,BE and CF` are the medians which intersects at G.
ar(`triangleABC`)=`27cm^2`
ar(`triangleGBC`)=ar(`triangleGCa`)=ar(`triangleGAB`)
`1/3`ar(`triangleABC`)
`1/3xx27cm^2`=`9cm^2`
Hence, option (b) is correct.
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