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Omni-MATH / Let △ABC be an isosceles right triangle with AB=AC=10. Let M be the midpoint of BC and N the midpoint of BM. Let AN hit the circumcircle of △ABC again at T. Compute the area of …

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problem

Let △ABC\triangle ABC be an isosceles right triangle with AB=AC=10AB=AC=10. Let MM be the midpoint of BCBC and NN the midpoint of BMBM. Let ANAN hit the circumcircle of △ABC\triangle ABC again at TT. Compute the area of △TBC\triangle TBC.
Plain-text mathematical notation (without MathML)
Let △ABC be an isosceles right triangle with AB=AC=10. Let M be the midpoint of BC and N the midpoint of BM. Let AN hit the circumcircle of △ABC again at T. Compute the area of △TBC.
Original LaTeX notation
Let \(\triangle ABC\) be an isosceles right triangle with \(AB=AC=10\). Let \(M\) be the midpoint of \(BC\) and \(N\) the midpoint of \(BM\). Let \(AN\) hit the circumcircle of \(\triangle ABC\) again at \(T\). Compute the area of \(\triangle TBC\).

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Source and history

task_id
eee2bb11-9d7d-5284-b442-2eb6501d2507
task_key
test--eee2bb11-9d7d-5284-b442-2eb6501d2507
task_revision_id
1
config / split
/ test

Official source

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