Question

Two vertices of a triangle are (3,-5( and (-7,4) .If its centroid is (2,-1) ,find the third vertex

Answer 1

Answer:

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A( 3,-5) B( -7,4)

G = (2,-1)

( 2,-1) = X1+X2+x3/3 + y1+y2+y3 /3

(2,-1) = 3 + (-7) + x/3 , -5+4 +y /3

(2,-1)= 3-7+x/3,-1+y/3

(2,-1)= -4+x/3,-1+y/3

now equating x and y coordinates

we get, 2= -4 + x/3

6 = -4 + x

x = 10

-1 = -1+y/3

-3 = -1+y

-2 = y

the third vertex is (10,-2)

Answer 2

Answer:

(10,-2) is the required answer