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Omni-MATH / Let ABC be an acute triangle with incenter I and circumcenter O. Assume that ∠OIA=90^(∘). Given that AI=97 and BC=144, compute the area of △ABC.

Problem

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problem

Let ABCABC be an acute triangle with incenter II and circumcenter OO. Assume that ∠OIA=90∘\angle OIA=90^{\circ}. Given that AI=97AI=97 and BC=144BC=144, compute the area of △ABC\triangle ABC.
Plain-text mathematical notation (without MathML)
Let ABC be an acute triangle with incenter I and circumcenter O. Assume that ∠OIA=90^(∘). Given that AI=97 and BC=144, compute the area of △ABC.
Original LaTeX notation
Let $ABC$ be an acute triangle with incenter $I$ and circumcenter $O$. Assume that $\angle OIA=90^{\circ}$. Given that $AI=97$ and $BC=144$, compute the area of $\triangle ABC$.

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Source and history

task_id
b9c3a997-87d9-53bb-860b-0875584c5642
task_key
test--b9c3a997-87d9-53bb-860b-0875584c5642
task_revision_id
1
config / split
/ test

Official source

initial import