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MathNet 2001 — Part 01 Question 191

Math Olympiad Vault · MathNet 2001 — Part 01

Question 191

Square $ABCD$ is drawn. Isosceles triangle $CDE$ is drawn with $E$ a right angle. Square $DEFG$ is drawn. Isosceles triangle $FGH$ is drawn with $H$ a right angle. This process is repeated infinitely so that no two figures overlap each other. If square $ABCD$ has area $1$, compute the area of the entire figure.