Classifications of Triangles
Right Triangles
A right triangle has one 90° angle and a variety of often-studied topics:
Equilateral triangle
The Equilateral triangleshown on the left has three congruent sides and three congruent angles.
Each angle is 60°.
Isosceles triangle
The Isosceles triangle shown on the left has two equal sides and two equal angles.
Scalene Triangle
The Scalene Triangle has no congruent sides. In other words, each side must have a different length.
Acute Triangle
The Acute Triangle has three acute angles (an acute angle measures less than 90°).
Obtuse Triangle
The Obtuse Triangle has an obtuse angle (an obtuse angle has more than 90°). In the picture on the left, the shaded angle is the obtuse angle that distinguishes this triangle.
Since the total degrees in any triangle is 180°, an obtuse triangle can only have one angle that measures more than 90°.