Question

Find centroid of the triangle having vertices (2,-1) , (4,2) , (-3,8).​

Answer 1

Answer:

Centroid = (a1+a2+a3)/3, (b1+b2+b3)/3

=> (2+4-3)/3, (-1+2+8)/3

=> 3/3, 9/3

=> 1, 3

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

${\green{\therefore{\text G=(1,3)}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ \implies \text{A = (2,- 1)} \\ \\ \implies \text{B = (4,2) }\\ \\ \implies \text{C = (- 3, 8) }\\ \\ \red{ \underline \bold{To \: Find: }} \\ \implies \text{G= (x,y)}$

• According to given question :

$\text{Let \: centroid \: be \: G =(x,y)} \\ \\ \bold{by \: using \: centroid \: formula} \\ \implies x = \frac{ x_{1} + x_{2} + x_{3} }{3} \\ \\ \implies x = \frac{2 + 4 + ( - 3)}{3} \\ \\ \implies x = \frac{6 - 3}{3} \\ \\ \implies x = \frac{3}{3} \\ \\ \green{\implies \text{x = 1}} \\ \\ \blue{\text{similarly}} \\ \implies y = \frac{y_{1} + y_{2} + y_{3}}{3} \\ \\ \implies y = \frac{ - 1 + 2 + 8}{3} \\ \\ \implies y = \frac{9}{3} \\ \\ \green{\implies \text{y = 3}} \\ \\ \green{\therefore \text{Coordinate \: of \: centroid \: G (1,3)}}$