Question

if the coordinates of two vertices of a triangle are (3. – 4) and (-1, 2) and the coordinates of its centroid are (1,3),
then the coordinates of the third vertex of the trianngle is ​

Answer 1

Answer:

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

−7+8+x

,

3

6+5+y

)=(1,3)

=(

3

1+x

,

3

11+y

)=(1,3)

=>1+x=3;11+y=9

x=2;y=−2

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