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Eotvos Mathematical Competition (Hungary)
1900 Eotvos Mathematical Competition
2
2
Part of
1900 Eotvos Mathematical Competition
Problems
(1)
Construct a triangle $ABC$, given the length $c$ of its side $AB$, the radius $r
Source: Eotvos 1900 p2
3/19/2020
Construct a triangle
A
B
C
ABC
A
BC
, given the length
c
c
c
of its side
A
B
AB
A
B
, the radius
r
r
r
of its inscribed circle, and the radius
r
c
r_c
r
c
of its ex-circle tangent to the side
A
B
AB
A
B
and the extensions of
B
C
BC
BC
and
C
A
CA
C
A
.
geometry