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Mathematics
Problem
Let two straight lines drawn from the origin O intersect the line
3
x
+
4
y
=
12
3x + 4y = 12
3
x
+
4
y
=
12
at the point P and Q such that
△
O
P
Q
\triangle OPQ
△
O
P
Q
is an isosceles triangle and
∠
P
O
Q
=
90
∘
\angle POQ = 90^\circ
∠
P
O
Q
=
9
0
∘
. If
l
=
O
P
2
+
P
Q
2
+
Q
O
2
l = OP^2 + PQ^2 + QO^2
l
=
O
P
2
+
P
Q
2
+
Q
O
2
, then the greatest integer less than or equal to
l
l
l
is: 46 42 48 44
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