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Omni-MATH / Let a and b be real numbers randomly (and independently) chosen from the range [0,1]. Find the probability that a,b and 1 form the side lengths of an obtuse triangle.

Problem

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problem

Let aa and bb be real numbers randomly (and independently) chosen from the range [0,1][0,1]. Find the probability that a,ba, b and 1 form the side lengths of an obtuse triangle.
Plain-text mathematical notation (without MathML)
Let a and b be real numbers randomly (and independently) chosen from the range [0,1]. Find the probability that a,b and 1 form the side lengths of an obtuse triangle.
Original LaTeX notation
Let $a$ and $b$ be real numbers randomly (and independently) chosen from the range $[0,1]$. Find the probability that $a, b$ and 1 form the side lengths of an obtuse triangle.

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Source and history

task_id
b70a5eb7-02e0-5147-98e2-0db7feb25868
task_key
test--b70a5eb7-02e0-5147-98e2-0db7feb25868
task_revision_id
1
config / split
/ test

Official source

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