Triangle Inequalities Math
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Triangle inequalities math. 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. Well imagine one side is not shorter. If a side is equal to the other two sides it is not a triangle just a straight line back and forth. If a side is longer then the other two sides don t meet.
Try moving the points below. This rule must be satisfied for all 3 conditions of the sides. In the triangle abc above according to theorem 4 we have ab bc ac. 2 sides that are not equal are located opposite angles that are not equal so that the longest side lies opposite the angle with the biggest measure and the shortest side lies opposite the angle with the smallest measure.
Any side of a triangle must be shorter than the other two sides added together. In any triangle we can find the following to be true.