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Mathematics
Mathematics
Problem
In parallelogram
L
M
N
O
LMNO
L
M
N
O
, the diagonals
L
N
LN
L
N
and
M
O
MO
M
O
intersect at
P
P
P
. If
L
P
=
3
a
−
2
LP = 3a - 2
L
P
=
3
a
−
2
,
P
N
=
a
+
4
PN = a + 4
P
N
=
a
+
4
,
M
P
=
2
b
+
1
MP = 2b + 1
M
P
=
2
b
+
1
and
P
O
=
4
b
−
5
PO = 4b - 5
P
O
=
4
b
−
5
, all in centimetres, find (i)
a
a
a
, (ii)
b
b
b
, and (iii) the ratio
L
N
:
M
O
LN : MO
L
N
:
M
O
.
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