Regarding side length, a triangle is is an acute triangle if …
a² + b² > c²
In a triangle, the term acute refers to an angle measure. An acute angle measures less than 90 degrees. Therefore, a triangle is an acute triangle if all three of its angles measure less than 90 degrees.
Additionally, in an acute triangle, the side opposite the largest angle is always the longest and the side opposite the smallest angle is always the shortest. This is because the sum of the angles in any triangle always adds up to 180 degrees. In an acute triangle, all three angles are less than 90 degrees, which means that there must be a smaller range of values for each angle, resulting in a smaller range of possible side lengths.
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