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Mathematics
Mathematics
Problem
The points
P
(
2
,
0
)
P(2,0)
P
(
2
,
0
)
and
Q
(
8
,
0
)
Q(8,0)
Q
(
8
,
0
)
are two vertices of a triangle. The third vertex is
R
(
5
,
y
)
R(5,y)
R
(
5
,
y
)
with
y
>
0
y>0
y
>
0
. If the perimeter of
△
P
Q
R
\triangle PQR
△
P
QR
is
20
20
20
units, determine the value of
y
y
y
.
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