Coordinate Geometry Question 71
Question: If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is
[AIEEE 2005]
Options:
A) $ ( 1,\frac{7}{3} ) $
B) $ ( \frac{1}{3},\frac{7}{3} ) $
C) $ ( -1,\frac{7}{3} ) $
D) $ ( \frac{-1}{3},\frac{7}{3} ) $
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Answer:
Correct Answer: A
Solution:
Vertex of triangle is (1, 1) and midpoint of sides through this vertex is (-1, 2) and (3, 2)
therefore Vertex B and C come out to be (-3, 3) and (5, 3)Centroid is $ ( \frac{1-3+5}{3},\frac{1+3+3}{3} )=(1,7/3) $
BETA
