MathDB
Problems
Contests
National and Regional Contests
Hungary Contests
Kürschák Math Competition
1954 Kurschak Competition
1
1
Part of
1954 Kurschak Competition
Problems
(1)
AB < AC if ABCD convex with AB + BD = AC + CD
Source: 1954 Hungary - Kürschák Competition p1
10/10/2022
A
B
C
D
ABCD
A
BC
D
is a convex quadrilateral with
A
B
+
B
D
=
A
C
+
C
D
AB + BD = AC + CD
A
B
+
B
D
=
A
C
+
C
D
. Prove that
A
B
<
A
C
AB < AC
A
B
<
A
C
.
geometry
Geometric Inequalities