Question

Find the centroid of a triangle whose vertices are (1,4),(-1,-1),(3,-2)​

Answer 1

Answer:

answer is attached here

Answer 2

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

• From the given question :

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