ABC is an isosceles triangle with AB = AC. Draw `AP bot BC` to show that `angleB=angleC`.

ABC is an isosceles triangle with AB=AC . Draw AP perp BC to show that /_Bquad =/_C .

triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) . Prove that triangle ABC is a right triangle.

ABC is an isosceles triangle with AB=AC and D is a point on ABC BC such that AD_|_BC (see figure ). To prove that angleBAD =angleCAD a student proceeded as follows In Delta ABD and Delta ACD ,we have AB=AC " " [" Given"] angleB=angleC " "[because AB=AC ] and " "angleADB= angleADC Therefore " " DeltaABD cong Delta ACD " " ["by AAS congruence rule"] So , " "angleBAD =angleCAD " " [by CPCT] What is the defect in the above argument ?

Triangle ABC is an isosceles triangle with AB=AC . Bisectors of angleB and angleC intersect each other at O. join A-O and prove that OB=OC

Triangle ABC is an isosceles triangle with AB=AC . Bisectors of angleB and angleC intersect each other at O. join A-O and prove that AO is bisector of angleA

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: angleB=angleC

ABC is an isosceles triangle with AB=AC and D is a pooint on AC such that BC^(2)=ACxCD .Prove that BD=BC

ABC is an isosceles triangle with AB = AC. A circle through B touching AC at the middle point intersects AB at P. Then, AP : AB is