MathDB

9

Part of 2019 Thailand Mathematical Olympiad

Problems(1)

Dissecting a convex n-gon to special triangles

Source: 2019 Thailand Mathematical Olympiad P9

5/22/2019
A chaisri figure is a triangle which the three vertices are vertices of a regular 20192019-gon. Two different chaisri figure may be formed by different regular 20192019-gon. A thubkaew figure is a convex polygon which can be dissected into multiple chaisri figure where each vertex of a dissected chaisri figure does not necessarily lie on the border of the convex polygon.
Determine the maximum number of vertices that a thubkaew figure may have.
combinatorics