D is a point on side BC of `Delta ABC` such that AD = AC (see Fig. 7.47). Show that AB > AD.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.

In Fig. D is a point on side BC of triangleABC such that (BD)/(CD) = (AB)/(AC) . Prove that AD is the bisector of angleBAC .

D is midpoint of BC in Delta ABC such that AD and AC are perpendicular, Show that Cos A Cos C = (2 (c^2-a^2))/(3ac)

In Fig, D is a point on hypotenuse AC of Delta ABC , such that BD bot AC , DM bot BC and DN bot AB .Prove that :- DN^2=DM.AN

E and F are respectively the mid-points of equal sides AB and AC of Delta ABC (see Fig. 7.28). Show that BF = CE.

In fig., D is a point on side BC of triangleABC such that (BD)/(DC)=(AB)/(AC) . Prove that, AD is bisector of angleBAC . .

The perpendicular from A on side BC of a Delta ABC intersects BC at D such that DB =3CD (see Fig) Prove that 2AB^2=2AC^2+BC^2

In fig. D and E are points on side BC of triangleABC such that BD=CE and AD=AE. Show that triangleABDequivtriangleACE

In Fig. , AB > AC , show that AB > AD .

In Fig. , AB > AC , show that AB > AD .