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Omni-MATH / In triangle ABC, points M and N are the midpoints of AB and AC, respectively, and points P and Q trisect BC. Given that A,M,N,P, and Q lie on a circle and BC=1, compute the area of…

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problem

In triangle ABCA B C, points MM and NN are the midpoints of ABA B and ACA C, respectively, and points PP and QQ trisect BCB C. Given that A,M,N,PA, M, N, P, and QQ lie on a circle and BC=1B C=1, compute the area of triangle ABCA B C.
Plain-text mathematical notation (without MathML)
In triangle ABC, points M and N are the midpoints of AB and AC, respectively, and points P and Q trisect BC. Given that A,M,N,P, and Q lie on a circle and BC=1, compute the area of triangle ABC.
Original LaTeX notation
In triangle $A B C$, points $M$ and $N$ are the midpoints of $A B$ and $A C$, respectively, and points $P$ and $Q$ trisect $B C$. Given that $A, M, N, P$, and $Q$ lie on a circle and $B C=1$, compute the area of triangle $A B C$.

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Source and history

task_id
3942a755-e115-541b-9577-6979400ef48c
task_key
test--3942a755-e115-541b-9577-6979400ef48c
task_revision_id
1
config / split
/ test

Official source

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