Question

find the value of k if the points (4,3);(6,k);(2,-4)​

Answer 1

Answer:

k=-3

Step-by-step explanation:

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(4,3) we will take as a point A.

(6,k) we will take as a point B

(2,-4) we will take as a point C

so,

A=(4,3) (x¹,y¹) =. x¹=4, y¹=3

B=(6,k) (x²,y²) =. x²=6, y²=k

C=(2,-4) (x³,y³) =. x³=2, y³=-4

By centroid formula

x= x¹+x²+x³ ; y = y¹+y²+y³

3 3

x= 4+6+2. ; y= 3+k+(-4)

3. 3

x= 12. ; y= -1k

3. 3

x= 4. ;. y=. -3k

k =-3

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