Exploring the Types and Properties of Triangles: A Guide to Classification Based on Lengths and Angles

Triangle

a three-sided polygon

A triangle is a geometric shape that consists of three straight sides and three angles. It is a closed, two-dimensional figure that can be formed by connecting any three non-collinear points in a plane.

Triangles can be classified based on the length of their sides and the size of their angles. The following are the different types of triangles:

1. Equilateral triangle – a triangle where all three sides are of equal length.
2. Isosceles triangle – a triangle where two sides are of equal length.
3. Scalene triangle – a triangle where all three sides are of different lengths.
4. Acute triangle – a triangle where all three angles are less than 90 degrees.
5. Right triangle – a triangle where one of the angles is exactly 90 degrees.
6. Obtuse triangle – a triangle where one of the angles is greater than 90 degrees.

In addition, the sum of the angles in any triangle will always be equal to 180 degrees. This is known as the Triangle Sum Theorem.

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