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Mathematics
Mathematics
Problem
Which of the following correctly gives the area
A
A
A
of a triangle with side lengths
a
,
b
,
c
a, b, c
a
,
b
,
c
and semiperimeter
s
s
s
? a)
A
=
s
(
a
−
b
)
(
b
−
c
)
(
c
−
a
)
A = \sqrt{s\,(a-b)(b-c)(c-a)}
A
=
s
(
a
−
b
)
(
b
−
c
)
(
c
−
a
)
b)
A
=
s
(
s
−
a
)
(
s
−
b
)
(
s
+
c
)
A = \sqrt{s\,(s-a)(s-b)(s+c)}
A
=
s
(
s
−
a
)
(
s
−
b
)
(
s
+
c
)
c)
A
=
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
A = \sqrt{s\,(s-a)(s-b)(s-c)}
A
=
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
d)
A
=
(
a
+
b
+
c
)
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
A = \sqrt{(a+b+c)(s-a)(s-b)(s-c)}
A
=
(
a
+
b
+
c
)
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
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