a, b c both

- 3. Poor man's version of Greek Construction: we have a ruler on which we can make two marks (so we can measure one line segment and duplicate it. We have no compass, nor can we draw parallel lines.) At the end of ech duplicated line segment you can assume there is a point. This exercise help us build the attitude of Greek Constructions without actually using the full power of the axioms of Greek Construction. a) Use this tool only to duplicate the area of a square, that is, start with a square, and using only this ruler, try to draw another square whose area is twice the area of this square. Make sure to clearly explain your steps by numbering the steps. Then make sure to prove that your construction is a square and its area is twice the original. b) Given a rectangle with sides a and b, construct another rectangle of the same ratio with double the area of the original rectangle. c) Given a right angle triangle with sides of the right angle, a and b, construct another right angle triangle that is similar to the original one (same ratio of the sides of the right angle,) but with twice the area