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Omni-MATH / The point P is inside of an equilateral triangle with side length 10 so that the distance from P to two of the sides are 1 and 3. Find the distance from P to the third side.

Problem

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problem

The point PP is inside of an equilateral triangle with side length 1010 so that the distance from PP to two of the sides are 11 and 33. Find the distance from PP to the third side.
Plain-text mathematical notation (without MathML)
The point P is inside of an equilateral triangle with side length 10 so that the distance from P to two of the sides are 1 and 3. Find the distance from P to the third side.
Original LaTeX notation
The point $P$ is inside of an equilateral triangle with side length $10$ so that the distance from $P$ to two of the sides are $1$ and $3$. Find the distance from $P$ to the third side.

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Source and history

task_id
b56a3111-a185-5243-881e-9659a4b613e2
task_key
test--b56a3111-a185-5243-881e-9659a4b613e2
task_revision_id
1
config / split
/ test

Official source

initial import