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National and Regional Contests
Puerto Rico Contests
Puerto Rico Team Selection Test
2021 Puerto Rico Team Selection Test
5
5
Part of
2021 Puerto Rico Team Selection Test
Problems
(1)
3 tangent circles in pairs, tangent int. to a 4th Puerto Rico TST 2021.5
Source:
9/22/2021
Circle
o
o
o
contains the circles
m
m
m
,
p
p
p
and
r
r
r
, such that they are tangent to
o
o
o
internally and any two of them are tangent between themselves. The radii of the circles
m
m
m
and
p
p
p
are equal to
x
x
x
. The circle
r
r
r
has radius
1
1
1
and passes through the center of the circle
o
o
o
. Find the value of
x
x
x
.
tangent circles
geometry