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Vahagn Khachatryan
2015-02-08 23:11:37 +04:00
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<h2>Almost right-angled triangles I</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 223</h3><span style="width:300px;color:#666;">Published on Friday, 26th December 2008, 05:00 pm; Solved by 793</span></div>
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<p>Let us call an integer sided triangle with sides <var>a</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>b</var> <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> <var>c</var> <i>barely acute</i> if the sides satisfy <br /> <var>a</var><sup>2</sup> + <var>b</var><sup>2</sup> = <var>c</var><sup>2</sup> + 1.</p>
<p>How many barely acute triangles are there with perimeter <img src='images/symbol_le.gif' width='10' height='12' alt='&le;' border='0' style='vertical-align:middle;' /> 25,000,000?</p>
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