`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.

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

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

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

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

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.

triangleABC is an isosceles triangle in which angleC = 90^@ . If AC = 6 cm, then AB is equal___

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

In the adjacent figure DeltaABC is isosceles as bar(AB) = bar(AC), bar(BA) and bar(CA) are produced to Q and P such that bar(AQ) = bar(AP) . . Show that bar(PB) = bar(QC) .

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .