(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 coordinates
of F.
Answers
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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