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MathNet 2015-part-06 — 191 problems (EN–VI) Question 27

Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)

Question 27

$\triangle ABC$ is right-angled at $A$, and $\triangle ABP$ is equilateral with $AB = 2$. The length of $AC$ is
Question illustration
(A) $\sqrt{6}$
(B) $\sqrt{8}$
(C) $\sqrt{10}$
(D) $\sqrt{12}$
(E) $4$