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In geometry, the sum of the lengths of any two sides of a triangle will be a value that exceeds the length of the third side. There is nothing more specific we can say other than that. But use the link below to the related question for just a bit more information.

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What is the sum of the lengths of any two sides of a triangle is greater than the length of the third side?

The statement that the sum of the lengths of any two sides of a triangle is greater than the length of the third side is known as the Triangle Inequality Theorem. This theorem is fundamental in geometry and ensures that a set of three lengths can form a triangle. If this condition is violated, the three lengths cannot connect to form a triangle. Essentially, it guarantees the triangle's stability and shape.


What is a statement of the triangle inequality theorem?

The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Specifically, if a triangle has sides of lengths (a), (b), and (c), then the following inequalities must hold: (a + b > c), (a + c > b), and (b + c > a). This theorem is fundamental in geometry as it ensures that a valid triangle can be formed with the given side lengths.


What set of lengths could not be the lengths of the sides of a triangle?

If any of its 2 sides is not greater than its third in length then a triangle can't be formed.


What is the name of any triangle wth no equal sides?

It is a scalene triangle that has 3 sides of different lengths


What triangle does not have any sides the same length?

A scalene triangle does not have any sides the same length.A triangle with 3 different lengths is called a Scalene triangle.


Which side lengths form a triangle that is similar to triangle ABC?

Any triangle whose sides are in the same ratio with the corresponding sides of ABC.


The lengths of the 3 sides of a certain triangle are related as shown below where n is the length of the shortest side of the triangle. 0.5n 1.5n 2.5n Which of these name the lengths of the sides for?

The lengths of the 3 sides of a certain triangle are related as shown below, where n is the length of the shortest side of the triangle.0.5n, 1.5n, 2.5nWhich of these name the lengths of the sides for another triangle, similar to the first triangle, for any value n ≥ 1?


What triangle measures 2m 4m and 7m?

The triangle with side lengths of 2m, 4m, and 7m does not form a valid triangle. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2m + 4m is less than 7m, violating the theorem. Therefore, a triangle with these side lengths cannot exist in Euclidean geometry.


Are any of the sides not equal in a triangle?

All sides are equal on an equilateral triangle. All the sides are different lengths on a scalene. 2 sides are larger then the other 1 on a isosceles triangle.


A right triangle has sides of lengths 15 and 20 and 25 units. What is the perimeter of the and 8203 triangle?

The perimeter of any triangle is the sum of its 3 sides


How are sides in a triangle related?

The sum of the lengths of any two sides of a triangle must be greater than the third. After that, any relationship is specific to the triangle: its angles or other characteristics.


Why do some lengths not form a triangle?

Some lengths do not form a triangle due to the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. If this condition is not met for any combination of the sides, the lengths cannot create a closed figure, resulting in no triangle. For example, if one side is longer than the sum of the other two, the sides will not connect to form a triangle.