Question

Find the coordinates of the intersection of the medians of △ ????BC given ????(2, 4), ????(−4, 0), and ????(3, −1).

Answer 1

The coordinates of the intersection of the medians of △ABC is (1/3, 1).

Explanation:

Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).

Intersection of the medians of a triangle is known as centroid.

Formula for centroid of a triangle is

`Centroid=((x_1+x_2+x_3)/(3),(y_1+y_2+y_3)/(3))`

Using the above formula the centroid of △ABC is

`Centroid=((2-4+3)/(3),(4+0-1)/(3))`

`Centroid=((1)/(3),(3)/(3))`

`Centroid=((1)/(3),1)`

Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).