Question

If A(1, 3), B(3, 10) are vertices of AABC and centroid G is (2, 2) then area of AABC is
Options:
1. 27sq.units 2. 27/2 3. 37/2 4. 47/2​

Answer 1

Answer:

Correct option is

C

−2,−8,2

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