Question

If the perimeter of an equilateral triangle is 30cm, find its area. ​

Answer 1

A ≈ 43.3 cm²

Explanation:

the area (A) of an equilateral triangle is calculated as

A =
`(s^2√(3) )/(4)` ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A =
`(10^2√(3) )/(4)` =
`(100√(3) )/(4)` = 25
`√(3)` ≈ 43.3 cm² ( to the nearest tenth )