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Omni-MATH / In triangle ABC,∠ABC is obtuse. Point D lies on side AC such that …isright,andpointEliesonsideA CbetweenAandDsuchthatB Dbisects∠EBC. Find CE, given that AC=35,BC=7, and BE=5.

Problem

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problem

In triangle ABC,∠ABCA B C, \angle A B C is obtuse. Point DD lies on side ACA C such that \angle A B Disright,andpoint is right, and point Eliesonside lies on side A Cbetween between Aand and Dsuchthat such that B Dbisects∠EBC bisects \angle E B C. Find CEC E, given that AC=35,BC=7A C=35, B C=7, and BE=5B E=5.
Plain-text mathematical notation (without MathML)
In triangle ABC,∠ABC is obtuse. Point D lies on side AC such that \angle A B Disright,andpointEliesonsideA CbetweenAandDsuchthatB Dbisects∠EBC. Find CE, given that AC=35,BC=7, and BE=5.
Original LaTeX notation
In triangle $A B C, \angle A B C$ is obtuse. Point $D$ lies on side $A C$ such that \angle A B D$ is right, and point $E$ lies on side $A C$ between $A$ and $D$ such that $B D$ bisects \angle E B C$. Find $C E$, given that $A C=35, B C=7$, and $B E=5$.

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Source and history

task_id
8656251f-dbdf-5f3e-9dbf-cec7c95cc3aa
task_key
test--8656251f-dbdf-5f3e-9dbf-cec7c95cc3aa
task_revision_id
1
config / split
/ test

Official source

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