# Triangle A triangle is a three sided geometric shape. The shape forms a basis for the subject of trigonometry and is used throughout mathematics and programming.

## Concepts

Angle

An angle is defined as the amount of rotation between two rays. Angles are measured using degrees and radians. A full rotation in degrees is 360°. A full rotation in radians is approximately 6.283 radians or τ (tau) radians.

Law of Sines

The law of sines is an equation that relates the three sides of a triangle with the three angles of a triangle using the sine function.

Law of Cosines

The law of cosines is a more general form of pythagoreans theorem that relates the squares of the sides together using the cosine function.

Right Triangle

A right triangle is a triangle where one of the three angles is a perpendicular angle. There are three sides of the right triangle: the adjacent, opposite, and hypotenuse sides.

## Formulas

Area of Triangle | Formula

The area of a triangle is given by one half multiplied by its width and height.

Area Between Two Vectors | Formula

The area between two vectors is given by the magnitude of their cross product. This formula is a generic way to find the area of any triangle given three points.