In `Delta ABC`, AD is the perpendicular bisector of BC. Show that `Delta ABC` is an isoscelss tringle in which AB = AC.

In triangleABC, AD is the perpendicular bisector of BC. Show that triangleABC is an isosceles triangle in which AB = AC.

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

In DeltaABC , the bisector AD of A is perpendicular to side BC Show that AB = AC and DeltaABC is isosceles.

In Delta ABC , AD is the median and PQ || BC . Prove that PE = EQ

In Delta ABC , C is a point on BD such that BC:CD=1:2 and △ABC is an equilateral triangle Prove that AD^(2) = 7AC^(2)

In Delta ABC , AD is the bisector of /_ BAC . If AB = 8 cm , BD = 6 cm and DC = 3 cm , then find AC.

ABC is an isosceles triangle with AB = AC. Draw AP _|_ BC to show that A = B.

In a triangle ABC, E is the mid - point of median AD. Show that ar (BED) =1/4 ar (ABC)

ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that (i) DeltaABD ~= DeltaACE (ii) AB = AC i.e., ABC is an isosceles triangle.