## What does the triangle inequality theorem state?

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 is four triangle inequality theorem?

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than or equal to the third side of a triangle. This statement can symbolically be represented as; a + b > c. a + c > b.

What is triangle inequality theorem 3?

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.

### Can these 3 sides make a triangle?

Can three equal side lengths form a triangle? Yes. It’s called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.

What is the rule for the third side of a triangle?

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

Do you know the theorem of triangle inequality?

Triangle Inequality Theorem. Any side of a triangle must be shorter than the other two sides added together. If a side is equal to the other two sides it is not a triangle (just a straight line back and forth).

## When does a triangle not satisfy the theorem?

As soon as the sum of any 2 sides is less than the third side then the triangle’s sides do not satisfy the theorem. Use the shortcut and check if the sum of the 2 smaller sides is greater than the largest side. Side 1: 1.2 Side 2: 3.1

Which is the smallest polygon according to the triangle inequality theorem?

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side. A polygon bounded by three line-segments is known as the Triangle. It is the smallest possible polygon.

When do you know the sides do not make up a triangle?

In other words, as soon as you know that the sum of 2 sides is less than (or equal to) the measure of a third side, then you know that the sides do not make up a triangle .

What does the triangle inequality theorem state? 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.…