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