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MathNet 2007-part-03 — 185 problems (EN–VI) Question 145

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 145

$\triangle ABC$ is right angled at $A$. $D$ is a point on $AB$ such that $CD=1$. $AE$ is the altitude from $A$ to $BC$. If $BD=BE=1$, what is the length of $AD$?