# What is triangle inequality in math?

## What is triangle inequality in math?

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 does triangle inequality say?

The Triangle Inequality Theorem says: Any side of a triangle must be shorter than the other two sides added together. If it is longer, the other two sides won’t meet!

What is the triangle inequality theorem simple?

The Triangle Inequality theorem states that in any triangle, the sum of any two sides must be greater than the third side. In a triangle, two arcs will intersect only if the sum of the radii of the two arcs is greater than the distance between the centers of the arc.

What is triangle inequality property class 7?

What is the triangle inequality theorem? The teacher said Triangle inequality theorem is defined as. “The sum of any two sides of the triangle is greater than the length of the third side.”

### What is triangle inequality theorem 1?

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

### Why is it called the triangle inequality?

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 it called triangle inequality?

Can a triangle be constructed with sides of lengths 6cm 7cm and 14cm?

6+7< 14. Since the sum of the sides of 6 cm and 7 cm is not greater than the third side of 14 cm, this given triangle is not possible to construct.

#### What is an inequality example?

For example, to solve -3x is less than 12, divide both sides by -3, to get x is greater than -4. And when graphing an inequality on a number line, less than or greater than is shown with an open dot, and less than or equal to or greater than or equal to is shown with a closed dot.