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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}. Find the distance from the ball's point of first contact with a wall to the nearest vertex.
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). Find the distance from the ball's point of first contact with a wall to the nearest vertex.
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 $\sqrt{19}$. Find the distance from the ball's point of first contact with a wall to the nearest vertex.

Discussion

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Source and history

task_id
ad93029b-ceab-5fe0-801f-abecff5d3306
task_key
test--ad93029b-ceab-5fe0-801f-abecff5d3306
task_revision_id
1
config / split
/ test

Official source

initial import