A triangle with one angle greater than 90 degrees is referred to as what type?

A triangle with one angle greater than 90 degrees is classified as an obtuse triangle. This means that, in the context of triangles, the obtuse angle is the defining feature, distinguishing it from other types of triangles.

In geometry, a triangle is categorized based on its angles. An acute triangle has all angles measuring less than 90 degrees, while a right triangle has one angle that is exactly 90 degrees. An equilateral triangle, on the other hand, is characterized by having all three sides of equal length and consequently all angles measuring 60 degrees, which also qualifies them as acute.

The specific identification of a triangle as obtuse is valuable for understanding its properties, including how it relates to the lengths of its sides, particularly in the application of the Pythagorean theorem and the triangle inequality theorem. This distinction is crucial in various geometric applications and problem-solving scenarios.