Question

Question Number: 6 Two vertices of a triangle are (1, 3) and (2,-4). If the origin is the centroid of the triangle, find the third vertex​

Answer 1

Step-by-step explanation:

Correct option is

C

(−2,4)

Centroid of a triangle with vertices (x

1

,y

1

);(x

2

,y

2

) and (x

3

,y

3

)

is calculated by the formula (

3

x

1

+x

2

+x

3

,

3

y

1

+y

2

+y

3

)

Let the third vertex of the triangle be (x,y)

So, centroid =(

3

−2+4+x

,

3

−3−1+y

)=(0,0)

=(

3

2+x

,

3

−4+y

)=(0,0)

=>2+x=0;−4+y=0

x=−2;y=4

Hence the third vertex of the triangle is (−2,4)