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International Contests
Tournament Of Towns
1996 Tournament Of Towns
(498) 5
(498) 5
Part of
1996 Tournament Of Towns
Problems
(1)
3 squares on sides of a triangle exterally, difference of areas
Source: TOT 498 1996 Spring S O5 Tournament Of Towns
8/16/2024
The squares
A
B
M
N
ABMN
A
BMN
,
B
C
K
L
BCKL
BC
K
L
and
A
C
P
Q
ACPQ
A
CPQ
are constructed outside triangle
A
B
C
ABC
A
BC
. The difference between the areas of
A
B
M
N
AB MN
A
BMN
and
B
C
K
L
BCKL
BC
K
L
is
d
d
d
. Find the difference between the areas of the squares with sides
N
Q
NQ
NQ
and
P
K
PK
P
K
respectively, if
∠
A
B
C
\angle ABC
∠
A
BC
is(a) a right angle; (b) not necessarily a right angle.(A Gerko)
geometry
Squares
areas