The verticles of triangle A are (-1,3) B (7,9) and C (15,-3) Find the coordinates of the intersection of the medians. please help

Step-by-step explanation:

Coordinates of A≡(−1,3)

Coordinates of B≡(7,9)

Coordinates of C≡(15,-3)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)

Now,

Length of median through vertex C= Distance between (15,-3) and (3,6)

Therefore,

Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit

Hence the length of median through the vertx C is 15 units.