[A(1,3),B(4,-1),C(-8,4)" are the vertices of a triangle "ABC" .If "D,E,F" divides "BC,CA,AB" in the "],[" same ratio "2:1" then centroid of the triangle "DEF" is "]

A(1,3),B(4,-1),C(-8,4) are the vertices of a triangle ABC. If D,E,F divides BC,CA,AB in the same ratio 2:1 then centroid of triangle DEF is

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

The vertices of a triangle an A(1,2), B(-1,3) and C(3, 4). Let D, E, F divide BC, CA, AB respectively in the same ratio. Statement I : The centroid of triangle DEF is (1, 3). Statement II : The triangle ABC and DEF have the same centroid.

A = (2, 2), B = (6, 3), C(4, 1) are the vertices of a triangle. If D, E are the midpoints of BC, CA then DE =

A (3, 2, -1), B (4, 1, 1), C(6, 2, 5) are three points. If D, E, F are three points which divide BC, CA, AB respectively in the same ratio 2 : 1 then the centroid of Delta DEF is

A (-4, 2), B(0, 2) and C(-2,-4) are vertices of a triangle ABC. P, Q and R are mid-points of sides BC, CA and AB respectively. Show that the centroid of Delta PQR is the same as the centroid of Delta ABC.

Let A(x_(1),y_(1),z_(1)),B(x_(2),y_(2),z_(2))&C(x_(3),y_(3),z_(3)) be the vertices of triangle ABC Let D,E and F be the midpoints of BC,AC&AB respectively Show that centroids of ABC&Delta DEF coincides.