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In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
2 de may. de 2024 · 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 cases where a + b = c, a degenerate triangle is formed in which all three vertices lie on the same line.)
- William L. Hosch
If we don't want a degenerate triangle, if we want to have two dimensions to the triangle, then x is going to have to be less than 16. Now the whole principle that we're working on right over here is called the triangle inequality theorem and it's a pretty basic idea.
- 6 min
- Sal Khan
- It can be used to determine bounds on distance. For example, if I were at school and I knew that my home is 5 miles from school and my favorite fin...
- Yes, By using sine, cosine, and tangent, we can figure out the angle measures.
- Yes this is possible for a triangle. The triangle would not be degenerate, even though it’s nearly degenerate. Any three interior angles that are p...
- Basily what he/she said.
- The angles of a triangle add up to 180 degrees. The angle of no shape adds up to 90 degrees. The angles of a quadrilateral add up to 360 degrees. H...
- A triangle can't have an angle degree measure of 360 degrees. The biggest angle that a triangle can have is less than 180 degrees because the sum o...
- That is impossible. In order for that to happen, the triangle must turn into a straight line, which wouldn't be a triangle any more. The sum of two...
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).
The Triangle Inequality (theorem) says that in any triangle, the sum of any two sides must be greater than the third side. For example, consider the following ∆ABC: According to the Triangle Inequality theorem: AB + BC must be greater than AC, or AB + BC > AC. AB + AC must be greater than BC, or AB + AC > BC.
Triangle Inequality Theorem. Any side of a triangle must be shorter than the other two sides added together. Why? Well imagine one side is not shorter: If a side is longer than the other two sides there is a gap: If a side is equal to the other two sides it is not a triangle (just a straight line back and forth). Try moving the points below:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
