Question

What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ? Enter your answer in the boxes.

Answer 1

Answer: The answer is (-1, 2).

Step-by-step explanation:

Answer 2

$distance \: xy \: = \sqrt{( { (3)}^{2} + {(4)}^{2} ) } \\ = \sqrt{(9 + 16)} = \sqrt{25} = 5$
$distance \: xz \: = \sqrt{( {(2)}^{2} + {(6)}^{2} ) } \\ = \sqrt{(4 + 36)} = \sqrt{40} \\ = \sqrt{4} \times \sqrt{10} = 2 \sqrt{10}$