Question : The centroid of a $\triangle ABC$ is G. The area of $\triangle ABC$ is 60 cm2. The area of $\triangle GBC$ is:
Option 1: 10 cm2
Option 2: 30 cm2
Option 3: 40 cm2
Option 4: 20 cm2
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Correct Answer: 20 cm 2
Solution :
The area of triangle GBC is one-third of the area of $\triangle ABC$.
Given that the area of $\triangle ABC$ is 60 cm
2
.
The area of $\triangle GBC=\frac{1}{3} \times 60 = 20$ cm
2
Hence, the correct answer is 20 cm
2
.
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