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

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

In DeltaABC , angleABC=90^(@). DeltaPAB, DeltaQACandDeltaRBC are the equilateral triangles contructed on sides AB , AC and BC repectively. Prove that : A(DeltaPAB)+A(DeltaRBC)=A(DeltaQAC)

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

Find the area of an isosceles triangle whose perimeter is 36 cm and base is 16 cm.

Delta ABC is an equilateral triangle. Point P is on base BC such that PC = 1/3BC , if AB = 6 cm, find AP. Delta ABC is an equilateral (ii) AB = 6 cm PC = 1/3 BC

Two triangles, DeltaABC" and "DeltaDBC, lie on the same side of the base BC. From a point P on BC, PQ||AB" and "PR||BD are drawn. They intersect AC at Q DC at R. Prove that QR||AD.

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

Find the area of the isosceles triangle with base 16 cm and vertical angle 60^(@)40'

Construct an isosceles triangle, given its base and base angle and justify the construction.