Question

Two vertices of a triangle are (-1, 4) and (5, 2). If the centroid is (0, -3), find the third vertex.

Answer 1

Answer:

( -4 , -15 )

Step-by-step explanation:

$\frac{x - 1 + 5}{3} = 0 \\ \\ x + 4 = 0 \\ \\ x = - 4 \\ \\ \\ \\ \frac{y + 4 + 2}{3} = - 3 \\ \\ y + 6 = - 9 \\ \\ y = - 15 \\ \\ coordinates \: of \: third \: vertex \: is \: ( - 4 \: \: \: \: - 15)$