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Learn about the Triangle Inequality Theorem: any side of a triangle must be shorter than the other two sides added together.
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.
In Euclidean geometry and some other geometries, the triangle inequality is a theorem about vectors and vector lengths : ‖ + ‖ ‖ ‖ + ‖ ‖, where the length of the third side has been replaced by the length of the vector sum u + v.
The triangle inequality theorem states that: a < b + c, b < a + c, c < a + b. In any triangle, the shortest distance from any vertex to the opposite side is the Perpendicular. In figure below, XP is the shortest line segment from vertex X to side YZ. Let us prove the theorem now for a triangle ABC. Triangle ABC.
The triangle inequality theorem states that, in a triangle, the sum of lengths of any two sides is greater than the length of the third side. Suppose a, b and c are the lengths of the sides of a triangle, then, the sum of lengths of a and b is greater than the length c.
Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-s... Intuition behind the triangle inequality theorem Practice this lesson yourself on KhanAcademy.org right...
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!
