Heron and Bretschneider
relation gives triangle area as a function of sides a, b, c.
Naming p the half perimeter p = (a+b+c)/2
| S = √( p(p-a)(p-b)(p-c) ) |
This relation is generalized for quadrilateral into Bretschneider relation :
| S = √( (p-a)(p-b)(p-c)(p-d) - abcd.cos²((B+D)/2) ) |
A parallelogram is such that its vertices are distant from a common internal point P by
1, 4, 7, 8
Maximal area of this parallelogram ?