Question

if (3/2 ,0),(3/2,6)and ( -1 ,6)are the midpoints of a triangle then find the centroid of the triangle​

Answer 1

Answer:

centroid is (2/3,4)

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Answer 2

Given,

Midpoints of the triangle=(3/2,0),(3/2,6),(-1,6)

To Find,

The centroid of the triangle.

Solution,

We know that centroid is the point of intersection of three medians of a triangle.

So ,we have the points,(x1,y1)=(3/2,0)

                                      (x2,y2)=(3/2,6)

                                      (x3,y3)=(-1,6)

Then, we have the formula for centroid that,

X=(x1+x2+x3/3)  ,  Y=(y1+y2+y3/3)

X=(3+3/2-1)/3 ,

Y=(0+6+6)/3

Then, X=7/6,Y=4

Hence, the centroid of the triangle is (7/6,4).