Triangle With Various Properties

A triangle, a fundamental geometric shape, is defined by its three sides and three angles, and it can be classified based on these characteristics. Key properties include the sum of interior angles always equaling 180 degrees and the triangle inequality theorem stating the sum of two sides must be greater than the third side. Triangles can be categorized as scalene, isosceles, or equilateral based on side lengths, and as acute, right, or obtuse based on angle measures.