AD, BE and CF asre the medians of a triangle ASBC intersectiing in G. Show that `/_\AGB=/_\BGC=/_\CGA=1/3/_\ABC`.

If the median of a △ABC intersect at G. show that ar (△AGC) = ar (△AGB) = ar (△BGC) = 1/3 ​ ar (△ABC)

AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

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)

A(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of median BD.

AD is a median of triangle ABC. Prove that : AB+BC+AC gt 2AD

If AD, BE and CF be the median of a /_\ABC , prove that vec(AD)+vec(BE)+vec(CF) =0

The medians of Delta ABC intersect at point G. Prove that: area of Delta AGB = (1)/(3) xx " area of " Delta ABC

AD, BE and CF , the altitudes of triangle ABC are equal. Prove that ABC is an equilateral triangle.

D is a point in side BC of triangle ABC. If AD gt AC , show that AB gt AC .

A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC. Find : the slope of the median AD .