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MathNet 2021 — Part 03 Question 67

Math Olympiad Vault · MathNet 2021 — Part 03

Question 67

The bisector of the internal angle on vertex $A$ of a triangle $ABC$ intersects the side $BC$ at point $D$. The line tangent to the circumcircle of the triangle $ABC$ at point $A$ intersects the line $BC$ at point $K$. Prove that $KA = KD$.