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MATH / Let A=(−4,5,−17) and B=(34,15,5). Let P be the set of points in space such that triangle ABP is equilateral. The set of points P in space that satisfy this condition traces a curve…

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problem

Let A=(−4,5,−17)A = (-4,5,-17) and B=(34,15,5).B = (34,15,5). Let PP be the set of points in space such that triangle ABPABP is equilateral. The set of points PP in space that satisfy this condition traces a curve. Find the total length of this curve.
Plain-text mathematical notation (without MathML)
Let A=(−4,5,−17) and B=(34,15,5).  Let P be the set of points in space such that triangle ABP is equilateral.  The set of points P in space that satisfy this condition traces a curve.  Find the total length of this curve.
Original LaTeX notation
Let $A = (-4,5,-17)$ and $B = (34,15,5).$  Let $P$ be the set of points in space such that triangle $ABP$ is equilateral.  The set of points $P$ in space that satisfy this condition traces a curve.  Find the total length of this curve.

level

Level 4

type

Precalculus

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Source and history

task_id
977e20d4-2ec8-5938-a098-153e07661e89
task_key
precalculus--test--977e20d4-2ec8-5938-a098-153e07661e89
task_revision_id
1
config / split
precalculus / test

Official source

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