A problem by Victor Loh
Let there exist a quadrilateral
ABCD
such that
AB
= 5,
BC
= 3,
CD
= 10,
DA
= 8 and the internal angle ∠
ABC
= 120°. If the area of the quadrilateral
ABCD
can be expressed in the form \frac{
x
}{
y
}, where
x
and
y
are coprime positive integers,
what is the last 3 digits of the sum of
x
and
y
?
The answer is 531.
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