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Question: If the middle points of the sides of a triangle be (–2, 3), (4, –3) and (4, 5), then the centroid o...

If the middle points of the sides of a triangle be (–2, 3),

(4, –3) and (4, 5), then the centroid of the triangle is-

A

(5/3, 2)

B

(5/6, 1)

C

(2, 5/3)

D

(1, 5/6)

Answer

(2, 5/3)

Explanation

Solution

Centroid of DDEF = Centroid of DABC

= (2+4+43,33+53)\left( \frac{- 2 + 4 + 4}{3},\frac{3 - 3 + 5}{3} \right) = (2,53)\left( 2,\frac{5}{3} \right)