Understanding Obtuse Triangles | Definition, Angles, and Side Length Configurations

obtuse triangle

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

An obtuse triangle is a type of triangle that has one angle measuring more than 90 degrees. In other words, at least one angle in the triangle is greater than a right angle.

The sum of the angles in any triangle is always 180 degrees. Therefore, in an obtuse triangle, the remaining two angles must be acute angles, measuring less than 90 degrees, in order to make the sum of the angles equal to 180 degrees.

In terms of side lengths, an obtuse triangle can have a variety of configurations. One scenario is when the side opposite the obtuse angle is the longest side, making it the “hypotenuse” of the triangle. Another scenario is when one of the acute angles is acute (less than 90 degrees) and the side opposite to it is the longest side, also making it the “hypotenuse”.

It’s important to note that an obtuse triangle is different from an equilateral triangle (all three angles are equal and measure 60 degrees) or an acute triangle (all three angles are less than 90 degrees).

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