What is the greatest area of a rectangle inscribed in a given right-angled triangle?
Consider this situation, where \(C\) is a vertex of both the rectangle and the triangle.
![The 2 vertices adiacent to C are on A C and C B and the fourth vertex is on A B.](/introducing-calculus/rectangles-in-triangles/images/triangle-1.png)
What is the greatest area of a rectangle inscribed in a given right-angled triangle?
Consider this situation, where \(C\) is a vertex of both the rectangle and the triangle.