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      <title>constructing a triangle given all 3 sides by Garrett Quinn</title>
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      <pubDate>2017-01-25 02:50:45 UTC</pubDate>
      <lastBuildDate>2017-01-25 04:09:49 UTC</lastBuildDate>
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         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/xvr1aebezz3r/wish/149212616</link>
         <description><![CDATA[<div>2 | The third vertex N of the triangle must lie somewhere on arc P.<br>3 | The third vertex N of the triangle must lie somewhere on arc Q.<br>4 | The third vertex N must lie where the two arcs intersect<br>5 | Triangle LMN satisfies the three side lengths given. LM is congruent to AB, LN is congruent to AC, MN is congruent to BC,</div><div>1 more row</div>]]></description>
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         <pubDate>2017-01-25 02:52:47 UTC</pubDate>
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         <author>gtquinn21</author>
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         <description><![CDATA[<div>Start with three line segments that will be the three sides of the triangle ABC. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:105,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step0.png&quot;,&quot;width&quot;:311}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step0.png" width="311" height="105"><figcaption class="caption"></figcaption></figure><br><strong>1.&nbsp; </strong>Mark a point A that will be one vertex of the new triangle. | <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/consttrianglesss/step1.png&quot;,&quot;width&quot;:268}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step1.png" width="268" height="184"><figcaption class="caption"></figcaption></figure><br><strong>2.&nbsp; </strong>Set the compasses' width to the length of the segment AB. This will become the base of the new triangle. | <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/consttrianglesss/step2.png&quot;,&quot;width&quot;:272}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step2.png" width="272" height="184"><figcaption class="caption"></figcaption></figure><br><strong>3.&nbsp; </strong>With the compasses' point on A, make an arc near the future vertex B of the triangle. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:188,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step3.png&quot;,&quot;width&quot;:383}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step3.png" width="383" height="188"><figcaption class="caption"></figcaption></figure><br><strong>4.&nbsp; </strong>Mark a point B on this arc. This will become the next vertex of the new triangle. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:191,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step4.png&quot;,&quot;width&quot;:390}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step4.png" width="390" height="191"><figcaption class="caption"></figcaption></figure><br><strong>5.&nbsp; </strong>Set the compasses' width to the length of the line segment AC. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:204,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step5.png&quot;,&quot;width&quot;:386}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step5.png" width="386" height="204"><figcaption class="caption"></figcaption></figure><br><strong>6.&nbsp; </strong>Place the compasses' point on A and make an arc in the vicinity of where the third vertex of the triangle (C) will be. All points along this arc are the distance AC from A, but we do not yet quite know exactly where the vertex C is. | <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/consttrianglesss/step6.png&quot;,&quot;width&quot;:389}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step6.png" width="389" height="190"><figcaption class="caption"></figcaption></figure><br><strong>7.&nbsp; </strong>Use the compasses to measure the length of the segment BC, the length of the third side of the triangle. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:216,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step7.png&quot;,&quot;width&quot;:389}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step7.png" width="389" height="216"><figcaption class="caption"></figcaption></figure><br><strong>8.&nbsp; </strong>From point B, draw an arc crossing the first. Where these intersect is the vertex C of the triangle | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:192,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step8.png&quot;,&quot;width&quot;:389}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step8.png" width="389" height="192"><figcaption class="caption"></figcaption></figure><br><strong>9.&nbsp; </strong>Finally, draw the three sides AB, AC, and BC of the new triangle. | <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/consttrianglesss/step9.png&quot;,&quot;width&quot;:403}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step9.png" width="403" height="193"><figcaption class="caption"></figcaption></figure><br><strong>10.&nbsp; </strong>Done. The blue triangle ABC has each side <a href="http://www.mathopenref.com/congruent.html">congruent</a> to the the corresponding line segment. | <figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:188,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step10.png&quot;,&quot;width&quot;:389}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step10.png" width="389" height="188"><figcaption class="caption"></figcaption></figure></div><div><br></div>]]></description>
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         <pubDate>2017-01-25 02:54:23 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/xvr1aebezz3r/wish/149212744</guid>
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         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/xvr1aebezz3r/wish/149218152</link>
         <description><![CDATA[<div><figure class="attachment attachment-preview" data-trix-attachment="{&quot;contentType&quot;:&quot;image&quot;,&quot;height&quot;:188,&quot;url&quot;:&quot;http://www.mathopenref.com/images/constructions/consttrianglesss/step10.png&quot;,&quot;width&quot;:389}" data-trix-content-type="image"><img src="http://www.mathopenref.com/images/constructions/consttrianglesss/step10.png" width="389" height="188"><figcaption class="caption"></figcaption></figure></div>]]></description>
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         <pubDate>2017-01-25 04:09:15 UTC</pubDate>
         <guid>https://padlet.com/gtquinn21/xvr1aebezz3r/wish/149218152</guid>
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         <author>gtquinn21</author>
         <link>https://padlet.com/gtquinn21/xvr1aebezz3r/wish/149218189</link>
         <description><![CDATA[<div><a href="http://www.mathopenref.com/consttrianglesss.html">http://www.mathopenref.com/consttrianglesss.html</a></div>]]></description>
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         <pubDate>2017-01-25 04:09:49 UTC</pubDate>
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