Goat in the Garden - 3#2721
Peter Vasilyevich's garden has the shape of a triangle and is not fenced. Peter Vasilyevich wants to tie a goat to a peg in the garden so that it can graze on the largest possible area within the garden, without crossing into the neighbors' plots.
Determine the location in the garden where the goat should be tied.
The program receives the coordinates of the three vertices of the garden. Each coordinate is a pair of integers, each not exceeding 10^4 in absolute value.
Print two numbers: the coordinates of the peg to which the goat should be tied, with an accuracy of at least decimal places.
Example 1