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2011 JHMT
10
SMT 2011 Geometry # 10
SMT 2011 Geometry # 10
Source:
September 2, 2022
geometry
Problem Statement
Given a triangle
A
B
C
ABC
A
BC
with
B
C
=
5
BC = 5
BC
=
5
,
A
C
=
7
AC = 7
A
C
=
7
, and
A
B
=
8
AB = 8
A
B
=
8
, find the side length of the largest equilateral triangle
P
Q
R
P QR
PQR
such that
A
,
B
,
C
A, B, C
A
,
B
,
C
lie on
Q
R
QR
QR
,
R
P
RP
RP
,
P
Q
P Q
PQ
respectively.
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