A triple of positive integers a, b, and c is called a Pythagorean triple if a 2
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A triple of positive integers a, b, and c is called a Pythagorean triple if a2 + b2 = c2. Let a be an odd positive integer and let
be, respectively, the integer floor and ceiling for a2/2.
a. Show that a2 + b2 = c2.
b. By direct calculation, or by appealing to the accompanying figure, find
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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