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MathNet 2008-part-02 — 165 problems (EN–VI) Question 120

Math Olympiad Vault · MathNet 2008-part-02 — 165 problems (EN–VI)

Question 120

Let $ABCD$ be a square of side length $1$. Let $O$ be the circle having the side $AD$ of the square as its diameter, and pick a point $E$ on the side $AB$ of the square in such a way that the line $CE$ becomes a tangent line to the circle $O$. Determine the area of the triangle $CBE$.