triangles

Triangles are three-sided geometric shapes that are foundational in mathematics and engineering. They are defined by three edges and three angles, with the sum of the angles always equal to 180 degrees. Triangles can be categorized into different types based on their side lengths: equilateral (all sides equal), isosceles (two sides equal), and scalene (all sides different), as well as by their angles: acute (less than 90 degrees), right (exactly 90 degrees), and obtuse (more than 90 degrees). Triangles have unique properties, making them useful in various applications, from architecture to navigation.