Triangle
A polygon with three sides
A triangle is a polygon with three sides and three angles. It is formed by connecting three non-collinear points in a plane. The three points are called the vertices of the triangle, and the line segments connecting them are called sides. The angles of a triangle are formed by the intersection of two sides, and the sum of all three angles is always equal to 180 degrees.
There are different types of triangles based on the length of their sides and the measurement of their angles. A triangle can be classified as:
1. Scalene triangle: a triangle with all sides of different lengths.
2. Isosceles triangle: a triangle with two sides of equal length.
3. Equilateral triangle: a triangle with all three sides of equal length.
4. Acute triangle: a triangle with all angles less than 90 degrees.
5. Right triangle: a triangle with one angle exactly 90 degrees.
6. Obtuse triangle: a triangle with one angle greater than 90 degrees.
7. Congruent triangles: two triangles are congruent if all of their corresponding sides and angles are equal.
Triangles have many properties and facts associated with them, including the Pythagorean Theorem, the Law of Sines, the Law of Cosines, and many more. Additionally, triangles have numerous real-life applications, such as in construction, engineering, and geometry.
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