The centroid of the triangle ABC , where A ≡(2,3), B ≡(8,10) and C ≡(5,5) is

Correct answer: (A) (5,6). Since, the vertices of the triangle are A ≡(2,3), B ≡(8,10) and C ≡(5,5) . ∴ The centroid of Δ ABC= ((2+8+5)/3, (3+10+5)/3 )=(5,6)

Q62 / 180 · KCET 2008 · Mathematics

The centroid of the triangle $\mathrm{ABC}$, where $A \equiv(2,3), B \equiv(8,10)$ and $C \equiv(5,5)$ is

Correct answer
A
$(5,6)$
B
$(6,5)$
C
$(6,6)$
D
$(15,18)$

Solution

Since, the vertices of the triangle are $A \equiv(2,3), B \equiv(8,10)$ and $C \equiv(5,5)$. $\therefore$ The centroid of $$ \Delta \mathrm{ABC}=\left(\frac{2+8+5}{3}, \frac{3+10+5}{3}\right)=(5,6) $$

Hence, the correct answer is option: 'A'.

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