Question

A triangle has a vertex at (1, 2) and the midpoints of
two sides through this vertex are (-1,2) and (2,3)
then centroid of the triangle is​

Answer 1

Answer:

See the image to find the answer of your question.

Answer 2

Question:- A triangle has a vertex at (1, 2) and the midpoints of two sides through this vertex are (-1,1) and (2,3)

then centroid of the triangle is

Solution:-

$\large\rm { Let \ B ( \alpha , \beta) \ and \ C \ ( \gamma , \delta)}$

$\large\rm { \frac { \alpha + 1}{2} = -1 \leadsto \alpha = -3}$

$\large\rm { \frac { \beta +2}{2} = 1 \leadsto \beta = 0}$

$\large\rm { \implies B = (-3,0)}$

Now, $\large\rm { \frac { \gamma +1}{2} = 2 \leadsto \gamma = 3}$

$\large\rm { \frac { \delta +2}{2} = 3 \leadsto \delta = 4}$

$\large\rm { \implies C = (2,3)}$

$\large\rm { \implies }$ centroid of triangle is $\large\rm { G ( \frac {1}{2} , 2) . }$