MathDB

INMO 2018 -- Problem #1

Source: INMO 2018

January 21, 2018

geometryLaw of Sines

Problem Statement

Let

ABC

be a non-equilateral triangle with integer sides. Let

D

and

E

be respectively the mid-points of

BC

and

CA

; let

G

be the centroid of

\Delta{ABC}

. Suppose,

D

C

E

G

are concyclic. Find the least possible perimeter of

\Delta{ABC}