Calculating the Area of Triangle ABD
2017-05-14 00:42
This GeoGebra applet demonstrates the calculation and exploration of triangle areas in plane geometry. By constructing points, segments, lines, and polygons (such as triangles ABC, CDE, ACD, and ABD), it visually illustrates how to use geometric properties and tools like orthogonal vectors to analyze and find the area of triangle ABD. The model is helpful for understanding similar triangles, area
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<expression label="text1" exp=""ΔACD = " + ACD + """ />
<element type="text" label="text1">
<show object="true" label="false" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<absoluteScreenLocation x="331" y="58"/>
</element>
<expression label="text2" exp=""ΔABD = " + (Polygon[{A, B, D}]) + """ />
<element type="text" label="text2">
<show object="true" label="false" ev="8"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<font serif="false" sizeM="2.0" size="12" style="1"/>
<absoluteScreenLocation x="567" y="59"/>
</element>
<element type="boolean" label="isRunning">
<value val="true"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="4"/>
<selectionAllowed val="false"/>
<checkbox fixed="true"/>
</element>
<element type="button" label="button1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<bgColor r="255" g="192" b="203" alpha="255"/>
<layer val="0"/>
<labelOffset x="31" y="30"/>
<labelMode val="3"/>
<fixed val="true"/>
<isShape val="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[isRunning , !isRunning] StartAnimation[D, isRunning] SetCaption[button1, If[isRunning, "stop", "run"]]"/>
<font serif="false" sizeM="1.4" size="5" style="0"/>
<caption val="stop"/>
</element>
<command name="Segment">
<input a0="A1" a1="A2"/>
<output a0="t"/>
</command>
<element type="segment" label="t">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isShape val="false"/>
<coords x="-9.645714285714284" y="8.365714285714285" z="62.271085714285704"/>
<lineStyle thickness="2" type="20" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
</construction>
</geogebra>