Regarding side length, a triangle is an obtuse triangle if …
a² + b² < c²
A triangle is an obtuse triangle if one of its angles is greater than 90 degrees. Alternatively, we can say that a triangle is obtuse if the square of the longest side is greater than the sum of the squares of the other two sides. In other words, if we have a triangle with side lengths a, b, and c, and c is the longest side, then the triangle is obtuse if c^2 > a^2 + b^2.
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