Coordinate Geometry Question 85

Question: Two vertices of a triangle are (5, 4) and (-2, 4). If its centroid is (5, 6) then the third vertex has the coordinates

[MP PET 1993]

Options:

A) (12, 10)

B) (10, 12)

C) (-10, 12)

D) (12, -10)

Show Answer

Answer:

Correct Answer: A

Solution:

Let the third vertex be (x, y), then $ 5=\frac{x+5-2}{3}\Rightarrow x=12 $ and $ 6=\frac{y+4+4}{3}\Rightarrow y=10 $ .