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.
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Rational Integer
Age 14 to 16 Short Challenge Level
For how many integers $n$ is $\frac{n+3}{n-1}$ also an integer?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.