MathDB

4

Part of 1995 Poland - First Round

Problems(1)

Line tangent to an incircle of a triangle

Source: Poland Math Olympiad 1995 Round 1 #4

6/12/2023
A line tangent to the incircle of the equilateral triangle ABC intersects the sides AB and BC at points D and E respectively. Prove that ADDB+AEEC=1\frac{AD}{DB}+\frac{AE}{EC} = 1.
geometry