Answer:
Explanation:
Heron's formula can be used to find the area of any triangle and is given by:
, where
,
, and
are three sides of the triangle and
is the semi-perimeter (
).
By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of
.
The semi-perimeter is therefore:
Substitute values into Heron's formula to get: