What is the length of the side of an equilateral triangle, if its area is 36
3
sq cm?
- A6cm
- B24cm
- C12cm
- D18cm
Solution & Step-by-step Explanation
Let the side of the equilateral triangle be a.
The formula for the area of an equilateral triangle is:
Area=
4
3
a
2
Given that the area is 36
3
cm
2
:
4
3
a
2
=36
3
Canceling
3
from both sides:
4
a
2
=36
a
2
=36×4=144
a=
144
=12cm
The formula for the area of an equilateral triangle is:
Area=
4
3
a
2
Given that the area is 36
3
cm
2
:
4
3
a
2
=36
3
Canceling
3
from both sides:
4
a
2
=36
a
2
=36×4=144
a=
144
=12cm