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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
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.
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. That any one side of a triangle has to be less, if you don't want a degenerate triangle, than the sum of the other two sides.
- 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 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.
Learn about the Triangle Inequality Theorem: any side of a triangle must be shorter than the other two sides added together.
Hace 6 días · Triangle Inequality. Let and be vectors. Then the triangle inequality is given by. (1) Equivalently, for complex numbers and , (2) Geometrically, the right-hand part of 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. A generalization is. (3) See also.
