Question

The centroid of the triangle whose vertices are (2,-3);(4,6);(-2,8) is?​

Answer 1

Answer:

Let P(x

1

,y

1

),Q(x

2

,y

2

) and R(x

3

,y

3

) be coordinates of triangle

Now the centroid of triangle is,

(

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)

By using the formula of centroid of triangle,

(0,0,0) = [(a−2+4)/3,(1+b+7)/3,(3−5+c)/3]

(0,0,0) = [(a+2)/3,(b+8)/3,(c−2)/3]

on solving, we get

a = −2; b = −8; c = 2