Similar Pentagon Areas Part 2
Geometry
Level
2
Let a pentasquish be a pentagon with the following properties:
- Two non-adjacent right angles
- All sides congruent
If the area of a pentasquish is \( \left(a+\dfrac{\sqrt{b}}{c} \right)s^2\), where \(s\) is the length of one of the sides, and \(a\), \(b\), and \(c\) are positive integers with \(b\) square-free, find \(a+b+c\).
by
Andy Hayes