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 $ .