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Byju's Answer
Standard X
Mathematics
Properties of Triangles
If the area o...
Question
If the area of an equilateral triangle is
16
3
cm
2
, then its perimeter is
(a) 48 cm
(b) 24 cm
(c) 12 cm
(d) 36 cm
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Solution
Given: The area of an equilateral triangle is
16
3
cm
2
.
Let the length of the side of an equilateral triangle be x cm.
Area
of
an
equilateral
triangle
=
3
4
×
x
2
⇒
16
3
=
3
4
x
2
⇒
16
3
×
4
3
=
x
2
⇒
x
2
=
64
⇒
x
=
8
cm
Thus
,
Perimeter
of
triangle
=
3
x
=
3
8
=
24
cm
Hence, the correct option is (b).
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