`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.

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

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

DeltaABC is an isosceles triangle angleC=90^@ then AB^2 =…………..

/_\ABC is an isosceles triangle with AB=AC. Draw AP _|_ BC to show that /_B=/_C

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle QAC and CD "||" BA as shown in the figure. Show that (i) angleDAC = angleBCA (ii) ABCD is a parallelogram

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

ABC is an isosceles triangle in which altitudes BD and CE are drawn to equal sides AC and AB respectively (see figure) Show that these altitudes are equal.

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

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

ABC is an isosceles triangle right angled at C. Prove that AB^2=2AC^2 .