Question

Find the Centroid of the triangle whose vertices are A(6,-1), B(8,3) and C(10,-5)

Answer 1

Answer:

solve each problem like this

Answer 2

The equation of the line whose passing through two points is

y=3x +12.

Centroid: The point in which the three medians of the triangle intersects is knows as the centroid of triangle. It also defined as the point of intersection of all the three medians. The medians is a line that joins the midpoint of a side and the opposite vertex of the triangle.

According to the question we need to find the a linear equation which pass the two points.

Let the points A=(4,24) and B=(6,30).

We know that the equation of the line whose passes through two points is

here x₁=4, y₁=24,x₂=6, y₂=30.

put the values of the above equation we get

(6-4)(y-24)=(x-4)(30-24)

2(y-24)=(x-4)6

y-24=3(x-4)

y=3x -12 +24

y=3x +12.

Hence the equation of the line whose passing through two points is

y=3x +12.

To learn more about geometry follow the given link

https://brainly.in/question/54951977?

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