P, Q, R are the mid-points of the sides BC, AC, and AB respectively of `triangleABC`. If `G_1(overline(g_1)) and G_2(overline(g_2))` are the centroids of the `triangleABC and trianglePQR` respectively, then

If D, E, F are the mid-points of the sides BC, CA and AB respectively of triangleABC , then overline(AD)+(2)/(3)overline(BE)+(1)/(3)overline(CF)=

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(||gmBDEF)= 1/2 ar (triangleABC)

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(triangleDEF) = 1/4 ar (triangleABC)

If G_1 and G_2 are the centroid of triangleABC and trianglePQR respectively, then overline(AP)+overline(BQ)+overline(CR)=

In figure. D and E are the mid-points o sides. AB, AC respectively of triangleABC . If ar(triangleABC) = 256 cm^2 , then find ar(triangleBDE)

Let P(11, 7), Q(13.9, 4) an dR(9.5, 4) be the mid points of the sides AB, BC and AC respectively of triangleABC . Find the coordinates of the vertices A, B, and C. Hence find the area of triangleABC and compare this with area of trianglePQR .

True/False In a triangleABC,D,E,F are the mid-points of the sides BC,CA and AB respectively. If ar(triangleABC) = 16cm^2 , then ar(trap FBCE) is 8cm^2

In the given triangle P, Q and R are the mid points of sides AB, BC and AC respectively. Prove that triangle PQR is similar to triangle ABC.

In parallelogram ABCD,if P, Q are mid-points of BC and CD respectively, then overline(AP)+overline(AQ)=

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)