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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 13 cm, 14 cm and 15 cm.
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Solution
Given sides of triangle
a
=
13
,
b
=
14
,
c
=
15
Semi-perimeter
s
=
1
2
(
a
+
b
+
c
)
=
1
2
(
13
+
14
+
15
)
=
21
Area, A =
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
A
=
√
21
(
21
−
13
)
(
21
−
14
)
(
21
−
15
)
A
=
84
c
m
2
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