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Omni-MATH / Let ABC be a triangle with AB=13,BC=14,CA=15. Company XYZ wants to locate their base at the point P in the plane minimizing the total distance to their workers, who are located at …

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problem

Let ABCA B C be a triangle with AB=13,BC=14,CA=15A B=13, B C=14, C A=15. Company XYZ wants to locate their base at the point PP in the plane minimizing the total distance to their workers, who are located at vertices A,BA, B, and CC. There are 1,5 , and 4 workers at A,BA, B, and CC, respectively. Find the minimum possible total distance Company XYZ's workers have to travel to get to PP.
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with AB=13,BC=14,CA=15. Company XYZ wants to locate their base at the point P in the plane minimizing the total distance to their workers, who are located at vertices A,B, and C. There are 1,5 , and 4 workers at A,B, and C, respectively. Find the minimum possible total distance Company XYZ's workers have to travel to get to P.
Original LaTeX notation
Let $A B C$ be a triangle with $A B=13, B C=14, C A=15$. Company XYZ wants to locate their base at the point $P$ in the plane minimizing the total distance to their workers, who are located at vertices $A, B$, and $C$. There are 1,5 , and 4 workers at $A, B$, and $C$, respectively. Find the minimum possible total distance Company XYZ's workers have to travel to get to $P$.

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Source and history

task_id
e21a58d3-7bab-5338-8943-1a5e3a7b6922
task_key
test--e21a58d3-7bab-5338-8943-1a5e3a7b6922
task_revision_id
1
config / split
/ test

Official source

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