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\$A = \\var{a}\$ and \$B = \\var{b}\$

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{geogebra_applet('https://beta.geogebra.org/m/gEWtutTS',defs)}

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Draw a circle centred at \$A\$ passing through \$B\$, and a circle centred at \$B\$ passing through \$A\$.

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Put a point at the intersection of the two circles.

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Create an equilateral triangle with \$A\$ and \$B\$ as vertices.

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An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

"}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Ann Smith", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2295/"}, {"name": "Leonardo Juliano", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3600/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Ann Smith", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2295/"}, {"name": "Leonardo Juliano", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3600/"}]}