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National and Regional Contests
Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2010 Saudi Arabia Pre-TST
3.3
3.3
Part of
2010 Saudi Arabia Pre-TST
Problems
(1)
AB = mn/(m+n) if AC = m, AD = n in regular heptagon ABCDEFG
Source: 2010 Saudi Arabia Pre-TST 3.3
12/28/2021
Let
A
B
C
D
E
F
G
ABCDEFG
A
BC
D
EFG
be a regular heptagon. If
A
C
=
m
AC = m
A
C
=
m
and
A
D
=
n
AD = n
A
D
=
n
, prove that
A
B
=
m
n
m
+
n
AB =\frac{mn}{m+n}
A
B
=
m
+
n
mn
ā
.
geometry
Heptagon
Regular