D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In angleABC , D is a point on side BC, triangleABC such that AD. AC (see figure).

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

DeltaABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see figure). Show that /_BCD is a right angle.

D is a midpoint on side BC of /_\ABC such that AD=AC then______ ( )

In an equilateral Triangle ABC,D is a point on side BC such that BD=1/3BC . Prove that 9AD^2=7AB^2 .

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that (i) DeltaABD ~= DeltaACE (ii) AB = AC i.e., ABC is an isosceles triangle.

AB and CD are respectively the smallest and longest sides of aquadrilateral ABCD (see adjacent figure). Show that /_A > /_C and /_ B > /_ D.

AD is an altitude of an isosceles triangle ABC in which AB = AC . Show that , AD bisects BC

AD is an altitude of an isosceles triangle ABC in which AB = AC . Show that , AD bisects angle A .