Question

When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid? Leave all results in fractions. (1 point) centroid==(,)

Answer 1

The centroid of a triangle is the point where the three medians intersect. If you have the coordinates of the vertices of the triangle as \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\), the coordinates of the centroid \((x_c, y_c)\) can be calculated using the following formulas:

\[
x_c = \frac{x_1 + x_2 + x_3}{3}
\]
\[
y_c = \frac{y_1 + y_2 + y_3}{3}
\]

Thus, the coordinates of the centroid are given by:

\[
\text{centroid} = \left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right).
\]

If you provide the coordinates of the vertices, I can calculate the specific coordinates of the centroid for you!