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Omni-MATH / ABC is a triangle with AB=15,BC=14, and CA=13. The altitude from A to BC is extended to meet the circumcircle of ABC at D. Find AD.

Problem

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problem

ABCA B C is a triangle with AB=15,BC=14A B=15, B C=14, and CA=13C A=13. The altitude from AA to BCB C is extended to meet the circumcircle of ABCA B C at DD. Find ADA D.
Plain-text mathematical notation (without MathML)
ABC is a triangle with AB=15,BC=14, and CA=13. The altitude from A to BC is extended to meet the circumcircle of ABC at D. Find AD.
Original LaTeX notation
$A B C$ is a triangle with $A B=15, B C=14$, and $C A=13$. The altitude from $A$ to $B C$ is extended to meet the circumcircle of $A B C$ at $D$. Find $A D$.

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Source and history

task_id
06de1754-ea77-5085-9e79-5fa1d52e4654
task_key
test--06de1754-ea77-5085-9e79-5fa1d52e4654
task_revision_id
1
config / split
/ test

Official source

initial import