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MathNet 2019-part-02 — 184 problems (EN–VI) Question 127

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 127

Point $P$ is the midpoint of the segment $\overline{AB}$ of length $2$. Let $T$ be the point at which the tangent from $A$ touches the circle with diameter $\overline{PB}$. Find the length of the segment $\overline{PT}$.

(Petar Bakić)