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Mathematics
Mathematics
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, point
U
U
U
is the midpoint of
X
Y
XY
X
Y
. A line through
U
U
U
meets
X
Z
XZ
X
Z
at
V
V
V
such that
U
V
∥
Y
Z
UV \parallel YZ
U
V
∥
Y
Z
. Given
X
Y
=
9
cm
XY = 9\,\text{cm}
X
Y
=
9
cm
and
X
Z
=
11
cm
XZ = 11\,\text{cm}
X
Z
=
11
cm
, find the lengths
X
V
XV
X
V
and
V
Z
VZ
V
Z
.
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