min (AB + BC + CD + DA)/ (AC + BD) for tangential ABCD
Source: IFYM - XI International Festival of Young Mathematicians Sozopol 2022, Theme for 11-12 grade,finals p3
November 13, 2022
geometrytangential quadrilateralgeometric inequalitytangential
Problem Statement
Quadrilateral is circumscribed around circle . Gind the smallest possible value of
, as well as all quadrilaterals with the above property where it is reached.