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Omni-MATH / Let ABCD be a square with side length 1. How many points P inside the square (not on its sides) have the property that the square can be cut into 10 triangles of equal area such th…

Problem

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problem

Let ABCDABCD be a square with side length 11. How many points PP inside the square (not on its sides) have the property that the square can be cut into 1010 triangles of equal area such that all of them have PP as a vertex?
Plain-text mathematical notation (without MathML)
Let ABCD be a square with side length 1. How many points P inside the square (not on its sides) have the property that the square can be cut into 10 triangles of equal area such that all of them have P as a vertex?
Original LaTeX notation
Let $ABCD$ be a square with side length $1$. How many points $P$ inside the square (not on its sides) have the property that the square can be cut into $10$ triangles of equal area such that all of them have $P$ as a vertex?

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Source and history

task_id
803cc1e9-d26d-58ba-830d-ff2c37dfa73a
task_key
test--803cc1e9-d26d-58ba-830d-ff2c37dfa73a
task_revision_id
1
config / split
/ test

Official source

initial import