A) \[\left( \frac{2}{3},\,\frac{7}{3} \right)\]
B) \[\left( \frac{1}{3},\,\frac{1}{3} \right)\]
C) \[\left( -\frac{2}{3},\,\frac{7}{3} \right)\]
D) \[\left( \frac{7}{3},\,\frac{13}{3} \right)\]
Correct Answer: D
Solution :
| Coordinates of S, T, and U are as |
| \[=S\left( 3,\,6 \right),\,T\left( \frac{7}{2},\,\frac{7}{2} \right)\] and \[U\left( \frac{1}{2},\,\frac{7}{2} \right)\] |
| As we know, the centroid of triangle formed by joining the mid-points of sides of given triangle is same as that of the given triangle |
| Hence, centroid of \[\Delta STU=\left( \frac{7}{3},\,\frac{13}{3} \right)\] |
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