Problems from Twitter

There are lots of geometry (and other math) problems posted on twitter, any one of which can be the start of a search for more problems. The first temptation is to generalize the problem by replacing one or more of the numbers in the problem with letters, thereby getting a problem with parameters, whose solution then is a function of the parameters. Here's are some examples.

An intersection of squares problem.	A theorem about rectangles.	Twin incircle problems.
A theorem about the Fibonacci sequence.	A quadrilateral area problem.