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) .

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 .

ABC is an isosceles triangle right angled at A. forces of magnitude 2sqrt(2),5 and 6 act along BC, CA and AB respectively. The magnitude of their resultant force is

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

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that /_DAC = /_BCA

ABC is a right angled triangle in which angle A = 90^(@) and AB = AC. Find angle B and angle C.

In the given figure, ABC is a right triangle, right angled at A. AB = 3 cm and AC = 4 cm. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

ABC is an isosceles triangle in which AB=AC bisects exterior angle PAC and CD||AB (See the given figure ). Show that ABCD is a parallelogram

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