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Sweden Contests
Swedish Mathematical Competition
1982 Swedish Mathematical Competition
4
4
Part of
1982 Swedish Mathematical Competition
Problems
(1)
AD = DE = EC = n, AB = 33, AC = 21,BC = m where m,n integers
Source: 1982 Swedish Mathematical Competition p4
3/28/2021
A
B
C
ABC
A
BC
is a triangle with
A
B
=
33
AB = 33
A
B
=
33
,
A
C
=
21
AC = 21
A
C
=
21
and
B
C
=
m
BC = m
BC
=
m
, an integer. There are points
D
D
D
,
E
E
E
on the sides
A
B
AB
A
B
,
A
C
AC
A
C
respectively such that
A
D
=
D
E
=
E
C
=
n
AD = DE = EC = n
A
D
=
D
E
=
EC
=
n
, an integer. Find
m
m
m
.
geometry
equal segments