Constructing a Rhombus with a Given Base

Construction Algorithm
1 Construct a line AB as a given base of the rhombus.
2 Construct a circle centered at B and has a radius AB.
3 Construct a point C as the third vertex of the rhombus on the circle constructed in step 2.
4 Construct a circle centered at C and has a radius AB.
5 Construct another circle centered at A and has a radius AB.
6 Generate the intersection point between the two circles to find the fourth vertex D of the rhombus.
7 Join up the four points A, B, C, and D to get the required rhombus.
8 Switch to drag mode. Pick a free element. Move it around to check your construction.

Construction Theorem

A rhombus is a quadrilateral with four equal sides.

Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella).