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WXYZ is a trapezium with WX ∥ ZY, and its diagonals… | StemPy Lab
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WXYZ is a trapezium with WX ∥ ZY, and its diagonals meet at O. A line through O parallel to WX meets WZ at E and XY at F. WO = 8 cm, OY = 12 cm and WE = 4.8 cm. Find WZ.
Mathematics
Hard
High School (9–10)
General
Geometry › Triangles
Olympiad
SAT
Created by
StemPy Lab
W
X
Y
Z
WXYZ
W
X
Y
Z
is a trapezium with
W
X
∥
Z
Y
WX \parallel ZY
W
X
∥
Z
Y
, and its diagonals meet at
O
O
O
. A line through
O
O
O
parallel to
W
X
WX
W
X
meets
W
Z
WZ
W
Z
at
E
E
E
and
X
Y
XY
X
Y
at
F
F
F
.
W
O
=
8
WO = 8
W
O
=
8
cm,
O
Y
=
12
OY = 12
O
Y
=
12
cm and
W
E
=
4.8
WE = 4.8
W
E
=
4.8
cm. Find
W
Z
WZ
W
Z
.
7.2
7.2
7.2
cm
8.4
8.4
8.4
cm
12
12
12
cm
16
16
16
cm
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