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A comprehensive overview of the fundamental concepts related to triangles, including their definition, key theorems and properties, and various types of triangles. It covers topics such as the sum of the angles in a triangle, the relationship between side lengths and angles, the properties of similar triangles, and formulas for calculating the area and perimeter of triangles. This information can be valuable for students studying geometry, mathematics, and related fields, as it lays the foundation for understanding more advanced concepts and problem-solving techniques involving triangles. The document could be particularly useful for university-level courses in subjects like euclidean geometry, trigonometry, and discrete mathematics, as well as for high school students preparing for exams or exploring the mathematical properties of triangles.
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A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. 1.2. THEOREMS AND PROPERTIES