<?xml version="1.0"?>
<rss version="2.0">
   <channel>
      <title>incenter by Garrett Quinn</title>
      <link>https://padlet.com/gtquinn21/45ce1e21ibew</link>
      <description></description>
      <language>en-us</language>
      <pubDate>2017-01-25 04:29:37 UTC</pubDate>
      <lastBuildDate>2025-11-19 14:57:59 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
      <image>
         <url>https://padlet-assets.s3.amazonaws.com/icons/Tent.png</url>
      </image>
      <item>
         <title></title>
         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219682</link>
         <description><![CDATA[<div><a href="http://www.mathopenref.com/constincenter.html">http://www.mathopenref.com/constincenter.html</a></div>]]></description>
         <enclosure url="" />
         <pubDate>2017-01-25 04:32:25 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219682</guid>
      </item>
      <item>
         <title></title>
         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219702</link>
         <description><![CDATA[<div>We start with the given triangle.&nbsp; | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:190,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step0.png&quot;,&quot;width&quot;:343}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step0.png" width="343" height="190"><figcaption class="caption"></figcaption></figure><br><strong>1.&nbsp; </strong>Place the compasses' point on any of the triangle's <a href="http://www.mathopenref.com/vertex.html">vertices</a>. Adjust the compasses to a medium width setting. The exact width is not important. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:184,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step1.png&quot;,&quot;width&quot;:343}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step1.png" width="343" height="184"><figcaption class="caption"></figcaption></figure><br><strong>2.&nbsp; </strong>Without changing the compasses' width, strike an <a href="http://www.mathopenref.com/arc.html">arc</a> across each adjacent side. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:193,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step2.png&quot;,&quot;width&quot;:350}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step2.png" width="350" height="193"><figcaption class="caption"></figcaption></figure><br><strong>3.&nbsp; </strong>Change the compasses' width if desired, then from the point where each arc crosses the side, draw two arcs inside the triangle so that they cross each other, using the same compasses' width for each. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:189,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step3.png&quot;,&quot;width&quot;:334}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step3.png" width="334" height="189"><figcaption class="caption"></figcaption></figure><br><strong>4.&nbsp; </strong>Using the straightedge, draw a line from the vertex of the triangle to where the last two arcs cross. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:198,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step4.png&quot;,&quot;width&quot;:360}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step4.png" width="360" height="198"><figcaption class="caption"></figcaption></figure><br><strong>5.&nbsp; </strong>Repeat all of the above at any other vertex of the triangle. You will now have two new lines drawn. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:195,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step5.png&quot;,&quot;width&quot;:353}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step5.png" width="353" height="195"><figcaption class="caption"></figcaption></figure><br><strong>6.&nbsp; </strong>Done. Mark a point where the two new lines intersect. This is the incenter of the triangle. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:186,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step6.png&quot;,&quot;width&quot;:333}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step6.png" width="333" height="186"><figcaption class="caption"></figcaption></figure><br><strong>7.&nbsp; </strong>(Optional) Repeat steps 1-4 for the third vertex. This will convince you that the three angle bisectors do, in fact, always intersect at a single point. But two are enough to find that point. | &nbsp;</div><div><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2017-01-25 04:32:43 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219702</guid>
      </item>
      <item>
         <title></title>
         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219764</link>
         <description><![CDATA[<div><figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:186,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/constincenter/step6.png&quot;,&quot;width&quot;:333}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/constincenter/step6.png" width="333" height="186"><figcaption class="caption"></figcaption></figure></div>]]></description>
         <enclosure url="" />
         <pubDate>2017-01-25 04:33:37 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219764</guid>
      </item>
      <item>
         <title></title>
         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219800</link>
         <description><![CDATA[<div>In this construction, we only use two bisectors, as this is sufficient to define the point where they <a href="http://www.mathopenref.com/intersection.html">intersect</a>, and we bisect the angles using the method described in <a href="http://www.mathopenref.com/constbisectangle.html">Bisecting an Angle</a>. The point where the bisectors cross is the incenter</div>]]></description>
         <enclosure url="" />
         <pubDate>2017-01-25 04:34:14 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/45ce1e21ibew/wish/149219800</guid>
      </item>
   </channel>
</rss>
