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Omni-MATH / Let ABC be a triangle with AB=23,BC=24, and CA=27. Let D be the point on segment AC such that the incircles of triangles BAD and BCD are tangent. Determine the ratio CD/DA.

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problem

Let ABCA B C be a triangle with AB=23,BC=24A B=23, B C=24, and CA=27C A=27. Let DD be the point on segment ACA C such that the incircles of triangles BADB A D and BCDB C D are tangent. Determine the ratio CD/DAC D / D A.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with AB=23,BC=24, and CA=27. Let D be the point on segment AC such that the incircles of triangles BAD and BCD are tangent. Determine the ratio CD/DA.
Original LaTeX notation
Let $A B C$ be a triangle with $A B=23, B C=24$, and $C A=27$. Let $D$ be the point on segment $A C$ such that the incircles of triangles $B A D$ and $B C D$ are tangent. Determine the ratio $C D / D A$.

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Source and history

task_id
e39d5b9f-3cfa-5c5b-8781-77ecba302e10
task_key
test--e39d5b9f-3cfa-5c5b-8781-77ecba302e10
task_revision_id
1
config / split
/ test

Official source

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