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Pan-African Shortlist
2017 Pan-African Shortlist
G1
G1
Part of
2017 Pan-African Shortlist
Problems
(1)
PAMO 2017 Shortlist: Angle bisector in a square
Source: 2017 Pan-African Shortlist - G1
5/5/2019
We consider a square
A
B
C
D
ABCD
A
BC
D
and a point
E
E
E
on the segment
C
D
CD
C
D
. The bisector of
∠
E
A
B
\angle EAB
∠
E
A
B
cuts the segment
B
C
BC
BC
in
F
F
F
. Prove that
B
F
+
D
E
=
A
E
BF + DE = AE
BF
+
D
E
=
A
E
.
geometry
square
angle bisector