MEDIUM
Olympiad
IMPORTANT
Earn 100

The diagonals and of a cyclic quadrilateral meet at right angles in . Prove that where is the radius of the circumscribing circle.

Important Questions on Geometry
HARD
Olympiad
IMPORTANT

MEDIUM
Olympiad
IMPORTANT

EASY
Olympiad
IMPORTANT
Let be a triangle and be the altitude through . Prove that (As usual denote the sides respectively)

HARD
Olympiad
IMPORTANT

MEDIUM
Olympiad
IMPORTANT
Suppose is a cyclic quadrilateral inscribed in a circle of radius one unit. If , then prove that is a square.
