MCQ
The centroid of a triangle is $(2, 7)$ and two of its vertices are $(4, 8)$ and $(-2, 6)$. The third vertex is
- A$(0,0)$
- ✓$(4,7)$
- C$(7,4)$
- D$(7,7)$
✓
Answer
Correct option: B.
$(4,7)$
b
(b) Let the third vertex be $(x, y)$, then
(b) Let the third vertex be $(x, y)$, then
$\frac{{x + 4 + ( - 2)}}{3} = $2 $ \Rightarrow \,\,x = 4$
$\frac{{y + 8 + 6}}{3} = 7$ $ \Rightarrow \,\,y = 7$
$\therefore $ Third vertex $(x, y)$ is $(4, 7)$.
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