Question

Find centroid of triangle whose vertices are (3,4) (-7,2) (10,-5)

Answer 1

Step-by-step explanation:

$3 + - 7 + 10 \div 3 \: for \: x$

$4 + 2 + - 5 \div 3 \: for \: y$

$x = 6 \\ y = 1$

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Answer 2

$\bold{Answer} \\ \green{\tt{ \therefore coordinate\:of\:centroid = (2,\frac{1}{3})}}$

• From the given question :

$\bold{Step-by-step \: explanation} \\ \\ \text{According \: to \: centroid \: formula} \\ \tt \to x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \tt \to x = \frac{ 3-7+10}{3} \\ \\ \tt \to x = \frac{6}{3} \\ \\ \green{\tt \to x = 2} \\ \\ \tt \to y = \frac{ y_{1} + y_{2} + y_{3} }{3} \\ \\ \tt \to y = \frac{ 4 - 1 -2}{3} \\ \\ \tt \to y= \frac{ 4+2-5}{3} \\ \\ \green{\tt \to y= \frac{1}{3}} \\ \\ \green{\tt{\therefore Coordinate \: of \: centroid \: is \: (2, \frac{1}{3})} }$