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 an obtuse angle, namely an angle greater than 90 degrees. In this case, the side opposite to the obtuse angle is the longest side (also known as the hypotenuse), and the other two sides are shorter than the hypotenuse.
Note that if all angles of a triangle are less than 90 degrees, it is an acute triangle, and if one of the angles is exactly 90 degrees, it is a right triangle.
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