ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of `Delta ABE and Delta ACD`

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

D, E, F are mid points of sides BC, CA, AB of Delta ABC . Find the ratio of areas of Delta DEF and Delta ABC .

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

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

ABC is a right angled triangle with angle B = 90 ^@ , a=6 cm if the radius of the circumcircle is 5 cm then the area of Delta ABC is

In Delta ABC , right angle is at B,AB = 5cm and angle ACB =30^(@) Determine the lengths of the sides BC and AC.

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

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

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