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There are different types of triangles in math based on their sides and angles. Learn about different types of triangles , and their classification based on the side lengths and angles, with concepts, definitions, properties, and examples. Triangles are fundamental in Euclidean geometry, and their properties are essential for various real-world applications. The triangle shape is one of the most common shapes that we observe in our daily lives. We observe traffic signals, snacks, cloth hangers, etc. which are shaped like triangles . This lesson explains the concept of a triangle and its properties. We will touch upon the basics of different types of triangles and also the famous Pythagorean Theorem. Triangles are classified into different types based on their angles and the lengths of their sides. Relations between angles and side lengths are a major focus of trigonometry. In particular, the sine, cosine, and tangent functions relate side lengths and angles in right triangles .