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Basic Triangle Construction and Interior Angles
Basic Triangle Construction and Interior Angles
2016-10-26 04:46
This GeoGebra example demonstrates the fundamental geometric construction of a triangle. Using Point, Segment, Polygon, and Angle commands, it builds a triangle (poly1) with three vertices (A, B, C), three sides (a, b, c), and three interior angles (α, β, γ). The example visually presents the basic elements of a triangle and their labeling conventions, making it suitable for introductory plane geo
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<construction title="" author="" date="">
<element type="numeric" label="AB">
<value val="10"/>
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<element type="point" label="B">
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<pointSize val="5"/>
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<command name="Segment">
<input a0="A" a1="B"/>
<output a0="f"/>
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<element type="segment" label="f">
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<labelMode val="0"/>
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<keepTypeOnTransform val="true"/>
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<command name="Point">
<input a0="Circle[B, b]"/>
<output a0="C"/>
</command>
<element type="point" label="C">
<show object="true" label="true"/>
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<labelMode val="0"/>
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<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="B" a1="C"/>
<output a0="g"/>
</command>
<element type="segment" label="g">
<show object="true" label="false"/>
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<labelMode val="0"/>
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<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Polygon">
<input a0="A" a1="B" a2="C"/>
<output a0="poly1" a1="c_1" a2="a_1" a3="b_1"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="2" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="153" g="51" b="0" alpha="0.10000000149011612"/>
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<labelMode val="0"/>
<fixed val="true"/>
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<element type="segment" label="c_1">
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<element type="segment" label="a_1">
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<objColor r="153" g="51" b="0" alpha="0"/>
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<element type="segment" label="b_1">
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<command name="Angle">
<input a0="A" a1="C" a2="B"/>
<output a0="α"/>
</command>
<element type="angle" label="α">
<angleStyle val="0"/>
<value val="0.7853981633974481"/>
<show object="true" label="true"/>
<condition showObject="a"/>
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<layer val="0"/>
<labelMode val="2"/>
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<command name="Angle">
<input a0="C" a1="B" a2="A"/>
<output a0="β"/>
</command>
<element type="angle" label="β">
<angleStyle val="0"/>
<value val="1.5707963267948968"/>
<show object="true" label="true" ev="4"/>
<condition showObject="a"/>
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<command name="Angle">
<input a0="B" a1="A" a2="C"/>
<output a0="γ"/>
</command>
<element type="angle" label="γ">
<angleStyle val="0"/>
<value val="0.7853981633974484"/>
<show object="true" label="true"/>
<condition showObject="a"/>
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<expression label="text2" exp=""BC""/>
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<layer val="0"/>
<labelOffset x="375" y="63"/>
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<checkbox fixed="true"/>
<caption val="角的大小"/>
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<expression label="text3" exp=""三角形幾何條""/>
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