This calculator finds the

**centroid of a triangle**based on three coordinates (X_{1}, Y_{1}), (X_{2}, Y_{2}), and (X_{3}, Y_{3}), using the following formula:**Centroid**= ((X

_{1}+X

_{2}+X

_{3})/3, (Y

_{1}+Y

_{2}+Y

_{3})/3)

To find the centroid of a given triangle, simply enter in the values of the three (X, Y) coordinates below and then click the “Calculate” button.

Centroid = **(4.667, 7.667)**

**Explanation:**

Centroid = ((X_{1}+X_{2}+X_{3})/3, (Y_{1}+Y_{2}+Y_{3})/3)

Centroid = (1 + (4) + (9), 3 + (8) + (12))

Centroid = (14/3, 23/3))

Centroid = **(4.667, 7.667)**