The document discusses different types of triangles classified based on their sides and angles. There are three types of triangles based on sides: equilateral (all three sides are equal), isosceles (two sides are equal), and scalene (no sides are equal). Based on angles, triangles are: acute (all angles less than 90 degrees), obtuse (one angle greater than 90 degrees), or right (one angle is 90 degrees). The document provides details on defining characteristics of each triangle type.