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MATH / Let G be the centroid of △ABC; that is, the point where the segments joining each vertex to the midpoint of the opposite side all meet. If △ABG is equilateral with AB=2, then compu…

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problem

Let GG be the centroid of △ABC\triangle ABC; that is, the point where the segments joining each vertex to the midpoint of the opposite side all meet. If △ABG\triangle ABG is equilateral with AB=2AB=2, then compute the perimeter of △ABC\triangle ABC.
Plain-text mathematical notation (without MathML)
Let G be the centroid of △ABC; that is, the point where the segments joining each vertex to the midpoint of the opposite side all meet.  If △ABG is equilateral with AB=2, then compute the perimeter of △ABC.
Original LaTeX notation
Let $G$ be the centroid of $\triangle ABC$; that is, the point where the segments joining each vertex to the midpoint of the opposite side all meet.  If $\triangle ABG$ is equilateral with $AB=2$, then compute the perimeter of $\triangle ABC$.

level

Level 5

type

Geometry

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Source and history

task_id
1f215625-0b43-5b00-ba51-a0ac4561ef94
task_key
geometry--test--1f215625-0b43-5b00-ba51-a0ac4561ef94
task_revision_id
1
config / split
geometry / test

Official source

initial import