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What is the definition of mathematical term right?

The word "right" has several meanings in mathematics, and its specific definition depends on the context. Here are some common usages:

1. Right Angle:

* Definition: An angle measuring 90 degrees.

* Symbol: A small square drawn in the corner of the angle.

* Example: In a right triangle, one angle is a right angle.

2. Right Triangle:

* Definition: A triangle with one right angle.

* Properties: The sides opposite and adjacent to the right angle are called the hypotenuse and legs, respectively. The Pythagorean theorem applies to right triangles: a² + b² = c² (where a and b are the lengths of the legs and c is the length of the hypotenuse).

3. Right-Handed Coordinate System:

* Definition: A three-dimensional coordinate system where the positive x-axis points to the right, the positive y-axis points up, and the positive z-axis points forward.

* Importance: Used in physics, engineering, and other fields where three-dimensional orientation is important.

4. Right-Sided Limit:

* Definition: The limit of a function as the input approaches a value from the right (i.e., from values greater than the value).

* Symbol: lim_(x→a+) f(x)

* Importance: Used in calculus to analyze the behavior of functions near a specific point.

5. Right-Regular:

* Definition: Used to describe a regular polygon where all sides and angles are equal, and the polygon has a right angle.

* Example: A square is a right-regular quadrilateral.

6. Right Distributive Law:

* Definition: In algebra, the property that states a(b + c) = ab + ac.

* Importance: This law is fundamental to simplifying expressions and solving equations.

7. Right Congruence:

* Definition: Two shapes are right congruent if they are congruent and can be superimposed by rotating one of the shapes by 90 degrees.

* Example: Two squares are right congruent.

The meaning of "right" in a mathematical context should be clear from the surrounding text.

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