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Byju's Answer
Standard IX
Mathematics
Area of a Square
What is the a...
Question
What is the area of an equilateral triangle whose side is 8 cm?
A
16
√
3
c
m
2
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B
16
c
m
2
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C
√
3
c
m
2
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D
32
c
m
2
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Solution
The correct option is
A
16
√
3
c
m
2
Semi perimeter of a triangle (s) =
a
+
b
+
c
2
⇒
8
+
8
+
8
2
=
12
c
m
Area of a triangle =
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
=
√
12
(
12
−
8
)
(
12
−
8
)
(
12
−
8
)
=
√
12
×
4
×
4
×
4
=
√
3
×
4
×
4
×
4
×
4
=
16
√
3
c
m
2
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