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Omni-MATH / Now a ball is launched from a vertex of an equilateral triangle with side length…

Problem

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problem

Now a ball is launched from a vertex of an equilateral triangle with side length 5. It strikes the opposite side after traveling a distance of 19\sqrt{19}. How many times does the ball bounce before it returns to a vertex? (The final contact with a vertex does not count as a bounce.)
Plain-text mathematical notation (without MathML)
Now a ball is launched from a vertex of an equilateral triangle with side length 5. It strikes the opposite side after traveling a distance of √(19). How many times does the ball bounce before it returns to a vertex? (The final contact with a vertex does not count as a bounce.)
Original LaTeX notation
Now a ball is launched from a vertex of an equilateral triangle with side length 5. It strikes the opposite side after traveling a distance of $\sqrt{19}$. How many times does the ball bounce before it returns to a vertex? (The final contact with a vertex does not count as a bounce.)

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Source and history

task_id
fa586f8b-e34a-5e5f-980a-3ff0cee0a18a
task_key
test--fa586f8b-e34a-5e5f-980a-3ff0cee0a18a
task_revision_id
1
config / split
/ test

Official source

initial import