Problems
Area of a triangle
Area of a triangle
Given the length of three segments. Construct a triangle where one of these segments would be the height, one - the bisector and one - the median of triangle. All segments must go out from the same vertex.
Input
Three positive doubles - the lengths of segments (the length of each segment ranges from 0.01 to 100).
Output
Print one number - the area of constructed triangle with accuracy 0.001. If its not possible to construct triangle, print -1. If several triangles can be constructed with different areas, print 0.
Input example #1
4.349 4.0 5.0
Output example #1
16.0