`A A_1, B B_1a n dC C_1` are the medians of triangle `A B C` whose centroid is `Gdot` If points `A ,C_1, Ga n dB_1` are concyclic, then

AD, BE and CF are the medians of triangle ABC whose centroid is G. If the points A, F, G and E are concyclic, then prove that 2a^(2) = b^(2) + c^(2)

If (1,a),(2,b),(c^(2),3) are vertices of a triangle then its centroid is

Find the lengths of the medians of a triangle whose vertices are A(-1,3),B(1,-1) and C(5,1).

Find the lengths of the medians of a triangle whose vertices are A(-1,1),B(5,-3) and C(3,6)

If A(a,2,2),B(a,b,1) and C(1,2,-2) are the vertices of triangle ABC and G(2,1,c) is centroid, then values of a,b and c are

Find the lengths of the medians of triangle whose vertices are A (-1,1) , B (5,-3) and C (3,5).

Let the area of a given triangle ABC be Delta. Points A_1, B_1, and C_1 , are the mid points of the sides BC,CA and AB respectively. Point A_2 is the mid point of CA_1. Lines C_1A_1 and A A_2 meet the median BB_2 points E and D respectively. If Delta_1 be the area of the quadrilateral A_1A_2DE, using vectors or otherwise find the value of Delta_1/Delta

If A(-1,3),B(1,-1) and C(5,1) are the vertices of a triangle ABC, what is the length of the median through vertex A ?

If A=(2,3),B=(3,5),C(-1,4 " are three vertices of a triangle and the origin is shifted to the point (1,1) then the centroid of the triangle is