Question

The three medians of △ABC meet at a single point. What is the point of the centroid? Express all results in fractions. with A 2,2 B 8,2 C 4,7

Answer 1

To find the centroid of triangle ABC, we need to find the average of the x-coordinates and y-coordinates of the vertices A, B, and C.

The x-coordinate of the centroid can be found by taking the average of the x-coordinates of A, B, and C:
x-coordinate of centroid = (x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3
= (2 + 8 + 4) / 3 = 14 / 3 = 4.67

Similarly, the y-coordinate of the centroid can be found by taking the average of the y-coordinates of A, B, and C:
y-coordinate of centroid = (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3
= (2 + 2 + 7) / 3 = 11 / 3 = 3.67

Therefore, the centroid of triangle ABC is approximately located at (4.67, 3.67).