The Proof of the Hinge Theorem

The Hinge Theorem can be understood by exploring real hinges. If the two hinges are of the same size and the angle of the first hinge is opened wider than the second, then the distance between the edges of the first hinge, is farther than that of the second.   If a string is placed […]
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Triangle Inequality and Its Proof

Triangle Inequality states that for any real numbers a and b, |a| + |b| ≥ |a + b|. In proving this theorem, we use the definition of absolute value of a number. The absolute value of a number is x if x > 0 (*), –x  if x < 0 (**) and 0 if x = […]
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