Ask a New Question
Menu

Use the image to answer the question.

A scalene triangle made up of vertices upper A, upper B, and upper C, is plotted on a grid. Each of its vertices have their coordinates labeled, and they are connected to an interior point labeled upper D.

The three medians of △ABC
meet at a single point. What is the point of the centroid? Express all results in fractions.

(1 point)
centroid=
(
,
)

1 answer

To find the centroid of triangle \( ABC \), you can use the coordinates of the vertices. The centroid (G) is calculated using the formula:

\[ G\left(x, y\right) = \left(\frac{x_A + x_B + x_C}{3}, \frac{y_A + y_B + y_C}{3}\right) \]

Where:

  • \( (x_A, y_A) \), \( (x_B, y_B) \), and \( (x_C, y_C) \) are the coordinates of vertices \( A \), \( B \), and \( C \), respectively.

Since I can't see the image of the triangle with the coordinates, please provide the coordinates of points \( A \), \( B \), and \( C \). Then I can help you calculate the centroid.