 Hello and how are you all today? The question says construct an equilateral triangle given its size and justify the construction. So here let us proceed on with our solution. Now the first step will be to draw a line segment of any length let it be 5 centimeter like this. Now the next step will be with B and C centers and VDI equal to BC that is 5 centimeter which we have taken draw two arcs on the same segment draw two arcs on the same side of BC intersecting each other at. So by taking B and C as a center we need to draw a 5 centimeter arc from B first and then from C. Then what we need to do is I need to mark this point as A. Now the third point is to join AB and then ABC is the required equilateral. So let us join these two sides. Let us first join A with B and then A with. Now if you notice now AB is also of length 5 centimeter while AC is also of length 5 centimeter. So by construction AB is equal to BC is equal to CA that is 5 centimeter each. So a triangle having all sides equal is called exactly therefore triangle ABC is an equilateral triangle right. So this completes my session hope you enjoyed the construction and have a good day.