ABC is an isosceles triangle with AC = BC. If `AB^2` = `2AC^2`, prove that ABC is right triangle.

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

In Fig., E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD bot BC and EF bot AC, prove that triangleABD ~ triangle ECF. .

ABC is an isosceles triangle with AB=AC draw APbotBC to show that angleB=angleC

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

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. Is triangleADB ~= triangleADC ? Why or why not?

ABC is an isosceles triangle with AB = AC.Take a trace-copy of ABC and also name it as ABC. Is angleB = angleC ? Why or why not?

ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of AB and respectively, prove that B,C,D and E are concyclic.

ABC is an isosceles triangle with AB = AC.Take a trace-copy of ABC and also name it as ABC. State the three parts of equal parts in triangleABC and triangleACB .

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that:- AD bisects angle A .

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. Is angleB = angleC ? Why or why not?