Explanation of Triangles
A triangle is a three-sided polygon with three edges and three vertices. It’s the simplest closed figure in Euclidean geometry and is characterized by its three internal angles, which always add up to 180 degrees.
Types of Triangles
Triangles can be classified based on two criteria: side lengths and angle measures.
Classification by Side Lengths
- Equilateral Triangle: All three sides are equal in length, and all internal angles are 60°.
- Isosceles Triangle: Has two sides of equal length, and the angles opposite these sides are also equal.
- Scalene Triangle: All three sides have different lengths, and all three internal angles are different.
Classification by Angle Measures
- Acute Triangle: All three angles are less than 90°, making it a triangle with only acute angles.
- Right Triangle: Has one angle exactly equal to 90°. The side opposite this right angle is called the hypotenuse, and the other two sides are called the legs.
- Obtuse Triangle: Has one angle greater than 90°, known as an obtuse angle. The other two angles in an obtuse triangle are acute.
Each triangle type serves unique purposes in geometry, trigonometry, and real-world applications like construction and engineering.
Types of Triangles
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
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