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Omni-MATH / In triangle ABC,AC=3AB. Let AD bisect angle A with D lying on BC, and let E be the foot of the perpendicular from C to AD. Find [ABD]/[CDE].

Problem

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problem

In triangle ABC,AC=3ABA B C, A C=3 A B. Let ADA D bisect angle AA with DD lying on BCB C, and let EE be the foot of the perpendicular from CC to ADA D. Find [ABD]/[CDE][A B D] /[C D E].
Plain-text mathematical notation (without MathML)
In triangle ABC,AC=3AB. Let AD bisect angle A with D lying on BC, and let E be the foot of the perpendicular from C to AD. Find [ABD]/[CDE].
Original LaTeX notation
In triangle $A B C, A C=3 A B$. Let $A D$ bisect angle $A$ with $D$ lying on $B C$, and let $E$ be the foot of the perpendicular from $C$ to $A D$. Find $[A B D] /[C D E]$.

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Source and history

task_id
9cbe44f7-c478-5f64-af79-df15bd664e71
task_key
test--9cbe44f7-c478-5f64-af79-df15bd664e71
task_revision_id
1
config / split
/ test

Official source

initial import