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Omni-MATH / Consider triangle ABC with side lengths AB=4,BC=7, and AC=8. Let M be the midpoint of segment AB, and let N be the point on the interior of segment AC that also lies on the circumc…

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problem

Consider triangle ABCA B C with side lengths AB=4,BC=7A B=4, B C=7, and AC=8A C=8. Let MM be the midpoint of segment ABA B, and let NN be the point on the interior of segment ACA C that also lies on the circumcircle of triangle MBCM B C. Compute BNB N.
Plain-text mathematical notation (without MathML)
Consider triangle ABC with side lengths AB=4,BC=7, and AC=8. Let M be the midpoint of segment AB, and let N be the point on the interior of segment AC that also lies on the circumcircle of triangle MBC. Compute BN.
Original LaTeX notation
Consider triangle $A B C$ with side lengths $A B=4, B C=7$, and $A C=8$. Let $M$ be the midpoint of segment $A B$, and let $N$ be the point on the interior of segment $A C$ that also lies on the circumcircle of triangle $M B C$. Compute $B N$.

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Source and history

task_id
321a1937-dbdd-5bfd-9fea-f5f4c1014c61
task_key
test--321a1937-dbdd-5bfd-9fea-f5f4c1014c61
task_revision_id
1
config / split
/ test

Official source

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