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Around the inside of the wire the result is another equilateral triangle:
Around the outside of the wire, the disc describes an arc of a circle as the disk rolls around each of the corners of the triangle:
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.