Question

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

Answer 1

Answer:

Centroid = (5, 1)

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 = $(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3})$

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:

$(\frac{5 + 11 + (-1)}{3}, \frac{5 + (-3) + 1}{3})$

$(\frac{15}{3}, \frac{3}{3})$

Centroid = (5, 1)