perimeter wanted, bisectors _|_ medians (2021 Novosibirsk Oral Geo Oly 9.3)
Source:
May 25, 2021
geometryperimeter
Problem Statement
In triangle , side is . It is known that one of the angle bisectors of triangle is perpendicular to one of its medians, and some other angle bisector is perpendicular to the other median. What can be the perimeter of triangle ?