Question

Two vertices of a triangle are (-4,5) and (-2,-1) .if it's centroid is (8/3,3) find the third vertex.
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Answer 1

Answer:

$(14 \: \: \: \: \: \: \: \: 5)$

Step-by-step explanation:

$( \frac{x - 4 - 2}{3} \: \: \: \: \: \: \: \frac{y + 5 - 1}{3} ) = (\frac{8}{3} \: \: \: \: \: 3) \\ \\ \\ \\ ( \frac{x - 6}{3} \: \: \: \: \: \: \frac{y + 4}{3} ) = ( \frac{8}{3} \: \: \: \: \: 3) \\ \\ \\ \\ \\ x - 6 = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:y + 4 = 9 \: \: \: \\ x = 14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 5 \\ \\ \\ \\ \\ (14 \: \: \: \: \: \: \: \: 5)$