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Mathematics
Mathematics
Problem
The triangle with vertices
A
(
a
,
1
)
A(a,1)
A
(
a
,
1
)
,
B
(
4
,
a
)
B(4,a)
B
(
4
,
a
)
and
C
(
2
,
5
)
C(2,5)
C
(
2
,
5
)
has an area of
7
7
7
square units. If
a
>
5
a>5
a
>
5
, find
a
a
a
. a)
3
+
5
3+\sqrt{5}
3
+
5
b)
7
+
41
2
\dfrac{7+\sqrt{41}}{2}
2
7
+
41
c)
7
+
33
2
\dfrac{7+\sqrt{33}}{2}
2
7
+
33
d)
7
+
17
2
\dfrac{7+\sqrt{17}}{2}
2
7
+
17
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