Triangle Inequality Theorem 1 (Ss → Aa), If one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side., Triangle Inequality Theorem 2 (Aa → Ss), If one angle of a triangle is larger than than a second angle, then the side opposite the first angle is longer than the side opposite the second angle., Triangle Inequality Theorem 3 (S1 + S2 > S3), The sum of the lengths of any two sides of a triangle is greater than the length of the third side., Exterior Angle Inequality Theorem, The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle., Hinge Theorem / SAS Inequality Theorem, If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the second.

Triangle Inequality Theorems

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