Question

The centroid of the triangle whose vertices
are(0,0) (3,0)and (0,3) is A) (0,0) B)(1,1) C)(2,0) D)(0,4)​

Answer 1

$\tt We\:know\:that\: centroid\:of\:triangle \: with \\ \tt vertices\:({x}_{1},{y}_{1})\:({x}_{2},{y}_{2})\:and\:({x}_{3},{y}_{3}) \\ \tt is\:given\:by \\ \\ \tt G= ( \frac{{x}_{1}+{x}_{2}+{x}_{3}}{3} , \frac{{y}_{1}+{y}_{2}+{y}_{3}}{3}) \\ \\ \tt centroid\:of\:triangle \: with \: vertices \: (0,0) \: (3,0) \\ \tt and\:(0,3) \: is \: given \: by \\ \\ \tt G = ( \frac{0+3+0}{3},\frac{0+0+3}{3}) \\ \\ \tt G = (\frac{3}{3},\frac{3}{3}) \\ \\ \boxed{\bold{\underline{\red{\tt G = (1 , 1 ) }}}} \\ \\ \red{\tt So\:correct\:choice\:is\:option\:B}$

Answer 2

Answer:

B) (1,1).

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