What is the inequality of a triangle?

triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.

What are the properties of inequalities of triangle?

The 3 properties of the triangle inequality theorem are: If the sum of any two sides is greater than the third, then the difference of any two sides will be less than the third. The sum of any two sides must be greater than the third side. The side opposite to a larger angle is the longest side in the triangle.

What are the inequalities in two triangle?

The theorem states that if two sides of triangle A are congruent to two sides of triangle B, and the angle between them is bigger in triangle A, then the third side of triangle A is bigger. If the angle between them is smaller in triangle A, the third side of triangle A is smaller.

What are the inequality theorem for one triangle?

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Which inequality is possible for triangle PQR?

In triangle PQR, an exterior angle at A measures 160o, and ∠ Q=70o.

What is an inequality in geometry?

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b.

Why is triangle inequality called so?

The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side. It follows from the fact that a straight line is the shortest path between two points. The inequality is strict if the triangle is non-degenerate (meaning it has a non-zero area).

Why is the triangle inequality true?

The triangle inequality theorem states that the length of any of the sides of a triangle must be shorter than the lengths of the other two sides added together. This is because those line segments satisfy the triangle inequality theorem.

Is it a triangle or not?

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

What are examples of inequality?

The major examples of social inequality include income gap, gender inequality, health care, and social class. In health care, some individuals receive better and more professional care compared to others.

What are the 4 basic inequality symbols?

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.