Questions
If the centroid and a vertex of an equilateral triangle are (2, 3) and (4, 3) respectively, then the other two vertices of the triangle are
a
1,3+3
b
2,3+3
c
1,2+3
d
2,2+3
detailed solution
Correct option is A
G being the centroid, divides AD in the ratio 2 : 1.Since AG = 2,∴ GD = 1,∴ Coordinates of D, using section formula, are D(1, 3).Now AD = 1 + 2 = 3, ∴tan600=3BD⇒BD=3∴B≡1,3+3 and C≡1,3-3Talk to our academic expert!
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