Obtuse Triangles: A Guide To Identifying And Explaining This Common Triangle Type

Regarding side length, a triangle is an obtuse triangle if …

a² + b² < c²

A triangle is an obtuse triangle if one of its interior angles is an obtuse angle, that is, an angle greater than 90 degrees. In other words, if one of the three angles of a triangle measures more than 90 degrees, the triangle is an obtuse triangle. The other two angles in an obtuse triangle will always be acute angles, that is, angles that measure less than 90 degrees. It is worth noting that the sum of the three interior angles of a triangle is always 180 degrees. Therefore, if one angle in a triangle is obtuse, the other two angles must add up to less than 90 degrees.

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