The centroid of a triangle, whose vertices are (2,1), (5,2)... | MATH - POINTS RELATE TO TRIANGLE (ORTHOCENTRE,...) | SolveeIt | Solveeit

Today, August 23

Question

The centroid of a triangle, whose vertices are (2,1), (5,2) and (3,4), is.

A

$\left( \frac{8}{3},\frac{7}{3} \right)$

B

$\left( \frac{10}{3},\frac{7}{3} \right)$

C

$\left( - \frac{10}{3},\frac{7}{3} \right)$

D

$\left( \frac{10}{3}, - \frac{7}{3} \right)$

Answer

$\left( \frac{10}{3},\frac{7}{3} \right)$

Explanation

Solution

$x = \frac { 2 + 5 + 3 } { 3 } = \frac { 10 } { 3 }$ and $y = \frac { 1 + 2 + 4 } { 3 } = \frac { 7 } { 3 }$ .