Question

Find the coordinates of the centroid of the triangle with the given vertices (5, 5), T(11,−3), U(−1, 1)

Answer 1

Centroid = (5, 1)

Step-by-step explanation:

Given:

S(5, 5), T(11,−3), U(−1, 1)

Required:

Coordinates of the centroid of the triangle

SOLUTION:

Formula for centroid for coordinates to find the centroid of a triangle =
`((x_1 + x_2 + x_3)/(3), (y_1 + y_2 + y_3)/(3))`

Where,

`(5, 5) = (x_1, y_1)`

`(11,−3) = (x_2, y_2)`

`(-1, 1) = (x_3, y_3)`

Plug in the values into the formula:

`((5 + 11 + (-1))/(3), (5 + (-3) + 1)/(3))`

`((15)/(3), (3)/(3))`

Centroid = (5, 1)