<?xml version="1.0" encoding="utf-8"?><?xml-stylesheet type='text/xsl' href='general.xsl'?><root><task id="18705" type="1" title="Задание по теме &quot;Перпендикуляр и наклонная. Теорема о трех перпендикулярах&quot;" task="&lt;p style=&quot;margin: 0 0 0 0; text-indent: 1em;&quot; /&gt;Из середины &lt;i&gt;F&lt;/i&gt; стороны &lt;i&gt;AB&lt;/i&gt; прямоугольного треугольника &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/18705/out1-0.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;49&quot; align=&quot;middle&quot; /&gt;  &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/18705/out1-1.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;58&quot; width=&quot;120&quot; align=&quot;middle&quot; /&gt; проведён перпендикуляр &lt;i&gt;FE&lt;/i&gt;  к плоскости этого треугольника. Найдите расстояние от точки &lt;i&gt;E&lt;/i&gt; до прямой &lt;i&gt;BС&lt;/i&gt;, если  &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/18705/out1-2.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;75&quot; align=&quot;middle&quot; /&gt;, &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/18705/out1-3.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;54&quot; width=&quot;104&quot; align=&quot;middle&quot; /&gt;, а длина перпендикуляра &lt;i&gt;FE&lt;/i&gt; равна  &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Task/18705/out1-4.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;54&quot; width=&quot;45&quot; align=&quot;middle&quot; /&gt; ." content="&lt;V&gt; &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Content/18705/out1-0.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;54&quot; width=&quot;45&quot; align=&quot;middle&quot; /&gt; &lt;/V&gt;&lt;br /&gt;&lt;V&gt; &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Content/18705/out1-1.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;14&quot; align=&quot;middle&quot; /&gt; &lt;/V&gt;&lt;br /&gt;&lt;V&gt; &lt;img src=&quot;../../_Content/MathML/EduTask_Node/Content/18705/out1-2.gif&quot; alt=&quot;&quot; class=&quot;mmlimage&quot; height=&quot;46&quot; width=&quot;14&quot; align=&quot;middle&quot; /&gt; &lt;/V&gt;" rightanswer="3" delimit="" /></root>