Question

An equilateral triangle has an apothem measuring 2.16 cm

and a perimeter of 22.45 cm.
What is the area of the equilateral triangle, rounded to the
nearest tenth?
2.7 cm
4.1 cm2
16.2 cm2
24.2 cm
2.16 cm

Answer 1

The answer is 24.2

Explanation:

on edg. 2020

Answer 2

d) 24.2 cm²

Area of equilateral triangle A = 24.22 cm²

Explanation:

Step(i):-

Perimeter of equilateral triangle = 3 a

Given Perimeter of equilateral triangle = 22.45 cm

now 3 a = 22.45

Dividing '3' on both sides,we get

a = 7.48 cm

Step(ii):-

Area of equilateral triangle

`A = (√(3) a^(2) )/(4)`

`A = (√(3) (7.48)^(2) )/(4)`

A = 24.22 cm²

Conclusion:-

Area of equilateral triangle A = 24.22 cm²