Triangle

A triangle is a polygon with three sides and three angles. The sum of the interior angles of a triangle is always 180 degrees.

Types of Triangles

There are several types of triangles:

• Equilateral Triangle: A triangle with all three sides of equal length and all three angles of equal measure (60 degrees).
• Isosceles Triangle: A triangle with at least two sides of equal length and two angles of equal measure.
• Scalene Triangle: A triangle with no sides of equal length and no angles of equal measure.
• Right Triangle: A triangle with one right angle (90 degrees).
• Obtuse Triangle: A triangle with one obtuse angle (greater than 90 degrees).
• Acute Triangle: A triangle with all angles acute (less than 90 degrees).

Properties of Triangles

Some important properties of triangles include:

• The sum of the lengths of any two sides of a triangle is always greater than the length of the third side (Triangle Inequality Theorem).
• The area of a triangle can be calculated using the formula: A = (1/2) * base * height.
• The perimeter of a triangle is the sum of the lengths of its three sides.
• The centroid, circumcenter, incenter, and orthocenter are important points within a triangle.