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MATH / The sides of a triangle with positive area have lengths 4, 6, and x. The sides of a second triangle with positive area have lengths 4, 6, and y. What is the smallest positive numbe…

Problem

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problem

The sides of a triangle with positive area have lengths 4, 6, and xx. The sides of a second triangle with positive area have lengths 4, 6, and yy. What is the smallest positive number that is $\textbf{not}$ a possible value of |x−y||x-y|?
Plain-text mathematical notation (without MathML)
The sides of a triangle with positive area have lengths 4, 6, and x. The sides of a second triangle with positive area have lengths 4, 6, and y. What is the smallest positive number that is $\textbf{not}$ a possible value of |x−y|?
Original LaTeX notation
The sides of a triangle with positive area have lengths 4, 6, and $x$. The sides of a second triangle with positive area have lengths 4, 6, and $y$. What is the smallest positive number that is $\textbf{not}$ a possible value of $|x-y|$?

level

Level 5

type

Geometry

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Source and history

task_id
f11b2387-e4c4-5f1e-b71a-08da438c9e80
task_key
geometry--test--f11b2387-e4c4-5f1e-b71a-08da438c9e80
task_revision_id
1
config / split
geometry / test

Official source

initial import