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Problems
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National and Regional Contests
Iran Contests
2020 Iranian Our MO
2
2
Part of
2020 Iranian Our MO
Problems
(1)
Constructing Geo
Source: Iranian Our MO 2020 P2
3/11/2020
Given vertex
A
A
A
and
A
A
A
-excircle
ω
A
\omega_A
ω
A
. Construct all possible triangles such that circumcenter of
△
A
B
C
\triangle ABC
△
A
BC
coincide with centroid of the triangle formed by tangent points of
ω
A
\omega_A
ω
A
and triangle sides.Proposed by Seyed Reza Hosseini Dolatabadi, Pooya Esmaeil Akhondy Rated 4
geometry