AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects `/_ A.`

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

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

If ABC is an isosceles triangle and D is a point on BC such that AD bot BC , then____

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.

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

In an isosceles triangle ABC, with AB = AC, the bisectors of /_ B and /_ C intersect each other at O. Join A to O. Show that : (i) OB = OC (ii) AO bisects /_A

In the figure beside is a point on the extended part of CB . DeltaABC is an isosceles triangle of which AB=AC . IF AD bot BC and EF bot AC , then prove that DeltaABD~DeltaECF .

ABC is an isosceles triangle of which AC=BC and AB^(2) = 2AC^(2) . Then value of /_C will be -

AD and BC are equal and perpendiculars to a line segment AB. Show that CD bisects AB.

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