Question 1064009
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To construct this rhombus using a compass and a ruler, first construct a (isosceles) triangle with the base of 45 mm and the lateral sides of 75 mm.


If the theme on geometric constructions is interesting to you, look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Triangles/How-to-bisect-a-segment-using-a-compass-and-a-ruler.lesson>HOW TO bisect a segment using a compass and a ruler</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Triangles/-HOW-TO-bisect-an-angle-using-a-compass-and-a-ruler.lesson>HOW TO bisect an angle using a compass and a ruler</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Triangles/How-to-draw-a-congruent-triangle-using-a-compass-and-a-ruler.lesson>HOW TO construct a triangle using a compass and a ruler</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> 

in this site.


The referred lessons are the part of this textbook under the section "<U>Geometric constructions using a compass and a ruler. Basic operations</U>".