← RoseCode

ROSECODE 268

Triangle Fair Split

Philippe_57721 · Math ·

For a triangle, there is always at least one line that splits simultaneously the perimeter and the area in two equal parts.



You are given a triangle of sides 7182, 8182, 8459.

Find how many lines split fairly this triangle and give there length (line PQ on the picture) in ascending order
(comma delimited, rounded to 5 digits after the decimal point).

Caveat:
If 2 distinct lines have the same length, they will be counted as 2 solutions.