Question

if (3/2,5) ,(7,-9/2) and (13/2,-13/2) are the midpoints of the sides of a triangle, then find the centroid of the triangle

Answer 1

See picture for answer

Answer 2

Answer:  The centroid of the triangle is (5,-2).

Step-by-step explanation:

Since we have given that

$(\dfrac{3}{2},5)\\(7,\dfrac{-9}{2})\\(\dfrac{13}{2},-\dfrac{13}{2})$

We need to find the centroid of the triangle.

As we know the formula for centroid of triangle.

It is same for the midpoints of the sides of the triangle.

$(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3})\\\\=(\dfrac{1.5+7+6.5}{3},\dfrac{5-4.5-6.5}{3})\\\\=(5,-2)$

Hence, the centroid of the triangle is (5,-2).