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

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 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 .

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

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

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

In DeltaABC , AD is the perpendicular bisector of BC (See adjacent figure). Show that DeltaABC is an isosceles triangle in which AB = AC.

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

DeltaABC and DeltaDBC are two isosceles triangles on thesame base BC (see figure). Show that /_ ABD = /_ ACD.

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