Question

"Find the coordinates of the centroid of the triangle with the given vertices A(8,10), B(4, -10), and C(0,0) using the midpoint formula (x1+x2, y1+y2) and the point-slope formula y−y1=m(x−x1)."

Answer 1

The coordinates of the centroid of the triangle with the given vertices A(8,10), B(4, -10), and C(0,0) are (4, 0).

Step-by-step explanation:

Using the midpoint formula, we can find the coordinates of the centroid of a triangle. The formula for the coordinates of the centroid is (x1+x2+x3/3, y1+y2+y3/3). Let's substitute the given vertices A(8,10), B(4, -10), and C(0,0) into the formula:

x-coordinate of centroid = (8 + 4 + 0)/3 = 4

y-coordinate of centroid = (10 + (-10) + 0)/3 = 0

Therefore, the coordinates of the centroid of the triangle with the given vertices are (4, 0).