Question

if the centroid of the Triangle formed by( 7, x) (y, - 6 )and( 9,10) is at (6, 3) then find the value of x and y​

Answer 1

Hope it helps you.... please mark as brainliest.

Answer 2

Answer:  The required values are

x = 5  and  y = 2.

Step-by-step explanation:  Given that the centroid of the triangle formed by (7, x), (y, -6) and (9, 10) is at the point (6, 3).

We are to find the values of x and y.

We know that

if (a, b), (c, d) and (e, f) represents he three vertices of a triangle, then the co-ordinates of the centroid are given by

$\left(\dfrac{a+c+e}{3},\dfrac{b+d+f}{3}\right).$

Therefore, from the given information, we get

$\dfrac{7+y+9}{3}=6\\\\\Rightarrow y+16=18\\\\\Rightarrow y=18-16\\\\\Rightarrow y=2$

and

$\dfrac{x-6+10}{3}=3\\\\\Rightarrow x+4=9\\\\\Rightarrow x=9-4\\\\\Rightarrow x=5.$

Thus, the required values are

x = 5  and  y = 2.