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

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

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .

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

If Delta ABC is an isosceles triangle with angle C=90^(@) and AC=5 cm, then AB is

If Delta ABC is an isosceles triangle with hat(C ) = 90^(@) and AC = sqrt(8) cm then AB is :

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 the figure, ABC is a triangle in which AB= AC. Points D and E are points on the side AB and AC respectively such that AD=AE. Show that points B, C, E and D lie on a same circle.

If Delta is the area of a triangle with side lengths a, b, c, then show that as Delta leq 1/4 sqrt((a + b + c) abc) Also, show that the equality occurs in the above inequality if and only if a = b = c .

Triangle ABC is isosceles with AB=AC and BC=65cm. P is a point on BC such that the perpendiculardistances from P to AB and AC are 24cm and 36cm, respectively. The area of triangle ABC (in sq cm is)