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If $G$ is a centroid of $Δ A B C$ and area of $Δ A B C$ is $48 {cm}^{2}$ , then the area of $Δ A G B$ is

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96 {cm}^{2}

16 {cm}^{2}

24 {cm}^{2}

48 {cm}^{2}

answer is C.

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Detailed Solution

Δ A B C

G

is centroid

Area of $Δ A B C = 48 {cm}^{2}$

We know that

Area of $Δ A G B = \frac{1}{3} (area of Δ A B C)$

$= \frac{1}{3} \times 48 {cm}^{2}$

$= 16 {cm}^{2}$

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