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	<title>blog.brightstartutors.com &#187; Number Theory</title>
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		<title>Pythagorean Triples</title>
		<link>http://brightstartutors.com/blog/2010/07/21/pythagorean-triples/</link>
		<comments>http://brightstartutors.com/blog/2010/07/21/pythagorean-triples/#comments</comments>
		<pubDate>Wed, 21 Jul 2010 17:30:54 +0000</pubDate>
		<dc:creator>curiousCharacter</dc:creator>
				<category><![CDATA[Learning Math]]></category>
		<category><![CDATA[Mathematics History]]></category>
		<category><![CDATA[Number Theory]]></category>

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When math textbooks need an example of a right triangle, they frequently use a triangle with sides of length 3, 4, and 5, since the numbers work out so nicely: \(3^{2}+4^{2}=5^{2}\) by the Pythagorean theorem. If that gets tiresome, 12, 5, 13 might be used: \(5^{2}+12^{2}=13^{2}\). Clearly, multiplies of these numbers work also, e.g. \(6^{2}+8^{2}=10^{2}\).
Such [...]]]></description>
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