MathDB

2

Part of 2022 Irish Math Olympiad

Problems(1)

Square with circle inscribed

Source: IrMO 2022

5/8/2022
2. Let ABCD be a square and let Γ\Gamma denote the circle with diameter CD. A tangent line is drawn to the circle Γ\Gamma from B, meeting the circle Γ\Gamma at E and intersecting the segment AD at K.
Prove that |AD| = 4 |KD|.
geometry