Triangles classified based on both angles and sides are – To classify triangles according to both angles and sides, we measure the interior angles and length of the sides of the triangle. The types of triangles based on the length of the sides are – Obtuse Triangle or Obtuse-angled Triangle.Right Triangle or Right-angled Triangle.Acute Triangle or Acute-angled Triangle.Triangles can be classified by angles, as: To classify triangles according to their angles, we measure each of their interior angles. Triangles can be classified based on the length of the sides or their angle measurements. The area of a triangle is equal to half of the product of its base and height.The sum of the length of any two sides of a triangle is always greater than the length of the third side.The sum of all three interior angles of a triangle is always equal to 180⁰.In triangle ABC, the vertices are A, B, and C. The point of intersection of any two sides of a triangle is known as a vertex.These angles are also called ∠B, ∠C, and ∠A, respectively. The three angles of the triangle ABC are ∠ABC, ∠BCA, and ∠CAB. The angle formed by any two sides of a triangle is the angle of the triangle, denoted by the symbol ∠.In triangle ABC, the sides are AB, BC, and CA. These shapes cannot be called triangles as – The above figures are non-examples of triangles. Some real-life examples of triangles include sandwiches, traffic signs, cloth hangers, and a rack in billiards. The above figure is a triangle denoted as △ABC. A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
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