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 given figure AB and CD bisect each other at O. Prove that AC = BD.

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

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

In DeltaABC , the bisectors of angleB and angleC intersect each other at O. Prove that. angleBOC=90^(@)+(1)/(2)angleA .

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that /_DAC = /_BCA

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

ABCD is a trapezium in which AB||DC and its diagonals intersects each other at the point O. Show that (AO)/(BO)=(CO)/(DO) .

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 triangle ABC, AB = AC and the bisector of angle A lt intersects BC at D. Prove that, ( 1 ) triangle ADB = triangle ADC ( 2 ) angle ABC = angle ACB

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that ABCD is a parallelogram