Question

# If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is

A

(4,8)

B

(8,4)

C

(6,4)

D

None of these

Solution

## The correct option is A (4,8) x =  x1+x2+x33, y =  y1+y2+y33 ∴ 4 =  6+2+x33, 6 =  4+6+y33 ⇒ x3 = 4, y3 = 8 ∴  Third vertex is (4, 8).

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