[" 2.If "AD,BE" ,C are the diameters of circumcircle of "/_ABC" ,"],[" then prove that the area of hexagon "AFBDCE" is "2/_" ."]

If AD, BE, CF are the diameters of circumcircle of Delta ABC , then prove that area of hexagon AFBDCE is 2Delta

S is the centre of the circumcircle of Delta ABC and if AD bot BC , prove that angle BAD= angle SAC .

AD is a diameter of the circumcircle of DeltaABC . AE is perpendicular to BC . Prove that ABxxAC=ADxxAE .

If in a triangle ABC,AB=5 units ∠B=cos^-1(3/5) and radius of circumcircle of ∆ABC is 5 units, then the area of triangle ABC is

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are 90^@-1/2A , 90^@-1/2B and 90^@-1/2C

Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are 90^@-1/2A , 90^@-1/2B and 90^@-1/2C

If two xx the square of the diameter of the circumcircle of a triangle is equal to the sum of the squares of its sides then prove that the triangle is right angled.

In /_\ABC /_A = 45^@ , BC = 6 c m.Find the diameter of the circumcircle.