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Omni-MATH / Let ABC be a triangle with AB=8,BC=15, and AC=17. Point X is chosen at random on line segment AB. Point Y is chosen at random on line segment BC. Point Z is chosen at random on lin…

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problem

Let ABCA B C be a triangle with AB=8,BC=15A B=8, B C=15, and AC=17A C=17. Point XX is chosen at random on line segment ABA B. Point YY is chosen at random on line segment BCB C. Point ZZ is chosen at random on line segment CAC A. What is the expected area of triangle XYZX Y Z ?
Plain-text mathematical notation (without MathML)
Let ABC be a triangle with AB=8,BC=15, and AC=17. Point X is chosen at random on line segment AB. Point Y is chosen at random on line segment BC. Point Z is chosen at random on line segment CA. What is the expected area of triangle XYZ ?
Original LaTeX notation
Let $A B C$ be a triangle with $A B=8, B C=15$, and $A C=17$. Point $X$ is chosen at random on line segment $A B$. Point $Y$ is chosen at random on line segment $B C$. Point $Z$ is chosen at random on line segment $C A$. What is the expected area of triangle $X Y Z$ ?

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Source and history

task_id
87a56860-d63d-5e4f-9ffa-34fb6e17b15e
task_key
test--87a56860-d63d-5e4f-9ffa-34fb6e17b15e
task_revision_id
1
config / split
/ test

Official source

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