How To Draw An Equilateral Triangle In Matlab
Tutorial: Constructing an Equilateral Triangle
Problem: How will y'all draw an equilateral triangle without using the Regular polygon tool?
You can follow this tutorial stride by step past opening the GeoGebra window.
In this tutorial, we will mimic compass and direct edge construction using the circumvolve tool. The idea is to apply the intersections of ii circles and the ii centers to grade every bit triangles as shown beneath.
Figure 1 - An equilateral triangle formed past radii of 2 circles
In constructing our triangle, we are going to learn how to use the circle tool, and how to display interior angle mensurate of a polygon and length of segments. Note that nosotros can likewise describe a regular polygon of any side by using the Regular polygon tool.
1 We volition not need the Algebra window and the Coordinate axes and so we volition hide them. To hide the Coordinate axes, click the View carte du jour on the card bar, and and so click Axes. To hide the Algebra window, click View and then click Algebra window.
2 Click the Segment between two points tool, and click two singled-out places on the drawing pad to construct segment AB.
3 If the labels of the points are not displayed, click the Motility push, right click each indicate and click Show characterization from the context menu. (The context card is the pop-up menu that appears when you lot correct click an object.)
4 To construct a circle with center A passing through B, click the Circumvolve with Center through Point tool, click point A, then click betoken B. After step four, your cartoon should look like the one shown in Figure ii.
Figure 2 - Circle with heart A and passing through B.
five To construct some other circle with centre B passing through A, with the Circle with Heart though Point withal active, click indicate B and then click bespeak A.
6 Adjacent, we have to intersect the circles. To intersect the two circles, click the inverted triangle on the New Betoken tool, select Intersect Two Objects, and then click the circumference of both circles. Discover that ii points will appear in their intersections. After step 6, drawing should await like the one shown in Figure 2.
Figure iii - Circles with radius AB and intersection C and D.
vii We only need three points, points A, B and C, to grade an equilateral triangle, so we will hibernate the ii circles, segment AB and indicate D. To do this, right click each object and click the Show Object option to uncheck it. In hiding segment AB, exist sure that you practise not click points A or B.
eight With simply iii points remaining on the drawing pad, click the Polygon tool and click the points in the post-obit order: point A, signal B, betoken C so betoken A to shut the polygon. After footstep viii, your drawing should await similar the effigy below. Note that in other versions, or depending on the setting, segment labels may appear.
Figure 4 - Triangle formed from radii of ii circles
ix Using the Movement button, motility the vertices of the triangle. What do y'all discover? Notice that you can motility vertex A and B but you lot tin never move vertex C. This is because vertex C is a dependent object. Recall that vertex C is the intersection of two circles and thus depends on the length of segment AB.
x Y'all have probably observed that it seems that ABC is an equilateral triangle. In fact, it is. To verify, we can brandish the interior angles of the triangle. To exercise this, click the Angle tool, and so click the interior of the triangle.
xi What do you discover? Movement the vertices of the triangle. Is your observation still the same?
12 You tin can also verify the length of the sides using the Properties window. To do this, right click 1 of the sides of the triangle, click Object Properties from the context menu.
13 In the Object Properties window, select the Basic tab. Be sure that the Show label check box is checked and choose Value from the Show label drib down listing box.
14 Select the other sides of the triangle in the Object list located at the left side of the Object Properties window and change the labels to Value, then close the window when yous are done.
fifteen Testify that the construction above always results to an equilateral triangle.
This tutorial is based on the GeoGebra Tutorial Serial of Mathematics and Multimedia
Tutorial: Constructing an Equilateral Triangle
es:Tutorial:Triángulo hasta Equilátero
Source: https://wiki.geogebra.org/en/Tutorial:EquilateralTriangle
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