Question

Find the point of intersection of the medians of the triangle whose vertices are (1, - 2), (-5,1) and (1,4).​

Answer 1

Answer:

(-1,1)

Step-by-step explanation:

Point of intersection of the medians of a Triangle is called the Centroid of the triangle.

the formula to find centroid of a triangle with given vertices (x₁,y₁) , (x₂,y₂), (x₃,y₃) is (  x₁+ x₂+x₃ /3 ,  y₁+y₂+y₃ / 3   )

In the given problem we have the vertices of the triangle as (1, - 2), (-5,1) and (1,4).​

so, the centroid is given by (  1+(-5)+1 /3 ,  -2+1+4 / 3   )

=>  (  -3 /3 ,  3 / 3   )

=>  (-1,1)