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AIME 2024 / AIME 2024 train 6d049acd-c61b-5c5e-b721-73584b48503a

Problem

Answer published by the source. Consult the official source to check your work against its answer.

Problem

Let

\triangle ABC

have circumcenter

O

and incenter

I

with

\overline{IA}\perp\overline{OI}

, circumradius

13

, and inradius

6

. Find

AB\cdot AC

Plain-text mathematical notation (without MathML)

Let △ABC have circumcenter O and incenter I with (IA)¯⊥(OI)¯, circumradius 13, and inradius 6. Find AB⋅AC.

Original LaTeX notation

Let $\triangle ABC$ have circumcenter $O$ and incenter $I$ with $\overline{IA}\perp\overline{OI}$, circumradius $13$, and inradius $6$. Find $AB\cdot AC$.

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Source and history

task_id: 6d049acd-c61b-5c5e-b721-73584b48503a
task_key: default--train--6d049acd-c61b-5c5e-b721-73584b48503a
task_revision_id: 2
config / split: default / train

Official source

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