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A square has 2 diagonals, a regular pentagon has 5 and a regular hexagon has 9.
How many diagonals does a regular icosagon (20 sides) have?
This problem is adapted from the South East Asian Mathematics Competition
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.