If a vertex of a triangle is (1, 1) and the mid pointegrals... | MATH - POINTS RELATE TO TRIANGLE (ORTHOCENTRE,...) | SolveeIt | Solveeit

Today, August 18

Question

If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (–1, 2) and (3, 2), then the centroid of the triangle is-

A

$\left( 1,\frac{7}{3} \right)$

B

$\left( \frac{1}{3},\frac{7}{3} \right)$

C

$\left( - 1,\frac{7}{3} \right)$

D

$\left( \frac{- 1}{3},\frac{7}{3} \right)$

Answer

$\left( 1,\frac{7}{3} \right)$

Explanation

Solution

\ Centroid $\left( \frac{1 - 3 + 5}{3},\frac{1 + 3 + 3}{3} \right)$ $\left( 1,\frac{7}{3} \right)$