Regarding side length, a triangle is is an acute triangle if …
a² + b² > c²
A triangle is considered acute if all three of its angles are acute angles, meaning that they each measure less than 90 degrees. In this type of triangle, the longest side is always opposite the largest angle, which measures less than 90 degrees. Therefore, an acute triangle can be defined as a triangle in which each side’s length is shorter than the length of the hypotenuse of a right triangle with the same two legs. Acute triangles are commonly seen in math classes and in real-life situations, such as in construction and engineering, as they are stable and balanced shapes.
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