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Mathematics
Mathematics
Problem
Find the exact area of the triangle whose vertices are
P
(
3
,
2
)
P\!\bigl(\sqrt{3},\,2\bigr)
P
(
3
,
2
)
,
Q
(
5
,
4
3
)
Q\!\bigl(5,\,4\sqrt{3}\bigr)
Q
(
5
,
4
3
)
and
R
(
−
2
,
1
2
)
R\!\bigl(-2,\,\tfrac{1}{2}\bigr)
R
(
−
2
,
2
1
)
. Give your answer in simplest surd form.
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