What are the coordinates of the centroid of a triangle with vertices p(−4, −1) , q(2, 2) , and r(2, −3) ?

Step-by-step explanation:

Given : Vertices of Triangle , and

To find : Centroid of a triangle

The centroid of a triangle is the point of intersection of the three medians of the triangle.

The formula to calculate the centroid of a triangle is:

Where,  are the coordinates of the centroid

Substituting the values in the formula gives us:

Therefore,

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.