Triangle Inequality Calculator Online

The Triangle Inequality Calculator serves as a fundamental tool in determining whether a set of given side lengths can form a valid triangle. It abides by the triangle inequality theorem, which stipulates that the sum of the lengths of any two sides of a triangle must always be greater than the length of the remaining side. This rule can be mathematically expressed as:

a + b > c

Where:

• “a” represents the length of one side of the triangle.
• “b” represents the length of another side of the triangle.
• “c” represents the length of the remaining side of the triangle.

Formula of Triangle Inequality Calculator

The calculator operates on the premise of the triangle inequality theorem, ensuring that any combination of side lengths adheres to the fundamental principle that underpins the formation of triangles. By inputting the lengths of the triangle’s sides, the calculator swiftly determines the validity of the triangle based on the prescribed formula.

Table of Commonly Searched Terms

For quick reference, here is a table of frequently search terms relate to triangle calculations:

Term	Description
Perimeter	The total length around the outer boundary of a triangle.
Area	The measure of space enclosed by the triangle’s boundaries.
Equilateral	A triangle with all sides of equal length.
Isosceles	A triangle with at least two sides of equal length.
Scalene	A triangle with no equal sides.
Pythagorean	The theorem relating to the squares of the triangle’s sides.

Example of Triangle Inequality Calculator

Suppose we have three side lengths: a = 4, b = 7, and c = 9. Entering these values into the calculator, it checks whether a triangle with these side lengths can be form according to the triangle inequality theorem.

The result displays whether the given side lengths can construct a valid triangle based on the theorem’s criteria.

Most Common FAQs