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(6) In A DEF, the coordinates of D and E are (3, -5) and (4, 3) respectively.If the centroid G of the triangle has coordinates (6,-2), find the coordinatesof F.​

Answer»

Answer:

Coordinate of F ( 11,-4)

Step-by-step explanation:

Here, in triangle DEF, the coordinates of D (3,-5) GIVEN and E (4,3) given.

In the second part of the sum, the centroid, which is being named G. It is given (6,-2). We have to find the coordinates of F.

Now, we know the coordinates.

D=(3,-5)

E=(4,3)

F, we do not know. So, let's consider the coordinates of F be (x,y).

Now, our WORK is done. We just have to write the formula of centroid.

We know the formula of centroid,

Centroid=( x1+x2+x3/3 , y1+y2+y3/3)

Therefore, 6= 3+4+x/3 -2=-5+3+y/3

3×6=3+4+x 3×(-2)=-5+3+y

18= 7+x -6 = -2+y

18-7 =x -6+2= y

11=x -4=y

So, we have got x=11 and y=-4

So, the coordinates of F is (11,-4)

Hope this answer will help u


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