Understanding Obtuse Triangles | Definition, Properties, and Examples

obtuse triangle

An obtuse triangle is a type of triangle that has one angle that is greater than 90 degrees

An obtuse triangle is a type of triangle that has one angle that is greater than 90 degrees. In other words, it is a triangle with one “obtuse” angle. The other two angles of an obtuse triangle are always acute, meaning they are less than 90 degrees.

In an obtuse triangle, the longest side, also known as the “hypotenuse,” is opposite the obtuse angle. The other two sides are referred to as the “legs” of the triangle.

To determine whether a triangle is obtuse, you can look at the measures of its angles. If one angle is greater than 90 degrees, it is an obtuse triangle. For example, if a triangle has internal angles of 45 degrees, 60 degrees, and 75 degrees, the triangle is obtuse because the angle measuring 75 degrees is greater than 90 degrees.

It’s important to note that an obtuse triangle is different from a right triangle, where one angle measures exactly 90 degrees, and an acute triangle, where all angles are less than 90 degrees.

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