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India Pre-Regional Mathematical Olympiad
2018 India PRMO
17
2018 preRMO p17 \A=\D, AB=DE=17, BC=EF=10,AC−DF=12, AC + DF ?
2018 preRMO p17 \A=\D, AB=DE=17, BC=EF=10,AC−DF=12, AC + DF ?
Source:
August 8, 2019
geometry
equal angles
Problem Statement
Triangles
A
B
C
ABC
A
BC
and
D
E
F
DEF
D
EF
are such that
∠
A
=
∠
D
,
A
B
=
D
E
=
17
,
B
C
=
E
F
=
10
\angle A = \angle D, AB = DE = 17, BC = EF = 10
∠
A
=
∠
D
,
A
B
=
D
E
=
17
,
BC
=
EF
=
10
and
A
C
−
D
F
=
12
AC - DF = 12
A
C
−
D
F
=
12
. What is
A
C
+
D
F
AC + DF
A
C
+
D
F
?
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