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 letimage


be, respectively, the integer floor and ceiling for a2/2.image


a. Show that a2 + b2 = c2


b. By direct calculation, or by appealing to the accompanying figure, findimage

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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