Question

Using Euclid's geometry prove that an equilateral triangle can be constructed on any given line segment starting reason and step of construction

Answer 1

Take compass, put the pointy end at point A & pencil at point B. 3. Draw an arc. ... Join point B to point C by a straight line. We need to prove AB = AC = BC Now AC = AB (Radii of same circle) & BC = AB (Radii of same circle) From Euclid's axiom, things which are equal to the same thing are equal.