<?xml version="1.0" encoding="UTF-8"?>
<solution xmlns="http://geocentral.net">
<version>3.1</version>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is the solution of a sample Geometria problem.</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is a sample Geometria problem.</comments>
</envelope>
<text>Find a plane that contains edge HM of this prism so that the section is a right triangle.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Prism</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>0.9879642857142856 0.008678571428571261 -0.765</coords>
</point>
<point>
<label>D</label>
<coords>-0.012035714285714528 -0.991321428571429 -0.7650000000000005</coords>
</point>
<point>
<label>E</label>
<coords>0.8558214285714287 0.5193928571428573 0.735</coords>
</point>
<point>
<label>M</label>
<coords>-0.829892857142857 0.5479642857142861 0.7350000000000004</coords>
</point>
<point>
<label>H</label>
<coords>-0.1441785714285714 -0.480607142857143 0.7349999999999995</coords>
</point>
<point>
<label>N</label>
<coords>-0.6977500000000001 0.03724999999999987 -0.7650000000000005</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.5328608041697043 -0.3348186344436886 -0.4134665796294599 0.6580282918981487</attitude>
</camera>
</figure>
</figures>
<answer>
<type>conditionPlane</type>
<condition>
<type>throughLine</type>
<coords>-0.1441785714285714 -0.480607142857143 0.7349999999999995</coords>
<coords>-0.829892857142857 0.5479642857142861 0.7350000000000004</coords>
</condition>
<condition/>
<condition>
<type>rectangularTriangle</type>
<figureName>Prism</figureName>
</condition>
</answer>
</problem>
<log>
<action>
<className>GPerpendicularAction</className>
<figureName>Prism</figureName>
<p0Label>H</p0Label>
<p1Label>N</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GPerpendicularAction</className>
<figureName>Prism</figureName>
<fLabel1>D</fLabel1>
<fLabel2>N</fLabel2>
<fLabel3>A</fLabel3>
<p0Label>O</p0Label>
<p1Label>N</p1Label>
<p2Label>D</p2Label>
</action>
<action>
<className>GCutAction</className>
<figureName>Prism</figureName>
<p0Label>O</p0Label>
<p1Label>P</p1Label>
<p2Label>H</p2Label>
<figure1Name>Figure1</figure1Name>
<figure2Name>Figure2</figure2Name>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>H,Q,M</value>
<figureName>Figure2</figureName>
</action>
</log>
</solution>