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India Pre-Regional Mathematical Olympiad
2012 India PRMO
7
2012 preRMO p7, AC = BC = 7, AB = 2
2012 preRMO p7, AC = BC = 7, AB = 2
Source:
June 16, 2019
geometry
Problem Statement
In
△
A
B
C
\vartriangle ABC
△
A
BC
, we have
A
C
=
B
C
=
7
AC = BC = 7
A
C
=
BC
=
7
and
A
B
=
2
AB = 2
A
B
=
2
. Suppose that
D
D
D
is a point on line
A
B
AB
A
B
such that
B
B
B
lies between
A
A
A
and
D
D
D
and
C
D
=
8
CD = 8
C
D
=
8
. What is the length of the segment
B
D
BD
B
D
?
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