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Byju's Answer
Standard IX
Mathematics
Area of a Triangle - by Heron's Formula
Find the area...
Question
Find the area of a triangle whose sides. are
18
c
m
,
10
c
m
and
14
c
m
.
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Solution
Given sides are
18
c
m
,
10
c
m
and
14
c
m
Area of triangle
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
⇒
a
=
18
c
m
,
b
=
10
c
m
and
c
=
14
c
m
⇒
s
=
a
+
b
+
c
2
=
18
+
10
+
14
2
=
42
2
=
21
c
m
Area
=
√
21
(
21
−
18
)
(
21
−
10
)
(
21
−
14
)
=
√
21
×
3
×
11
×
7
=
21
√
11
s
q
c
m
Hence, the answer is
21
√
11
s
q
c
m
.
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