81 lines
4.7 KiB
HTML
81 lines
4.7 KiB
HTML
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<h2>Circumscribed Circles</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 373</h3><span style="width:300px;color:#666;">Published on Saturday, 25th February 2012, 04:00 pm; Solved by 234</span></div>
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Every triangle has a circumscribed circle that goes through the three vertices.
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Consider all integer sided triangles for which the radius of the circumscribed circle is integral as well.
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Let S(<var>n</var>) be the sum of the radii of the circumscribed circles of all such triangles for which the radius does not exceed <var>n</var>.
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<P>S(100)=4950 and S(1200)=1653605.
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<P>
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Find S(10<sup>7</sup>).
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