Question

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

Answer 1

we know that

An equilateral triangle is a regular polygon, because all sides are equal

In a regular polygon the area is equal to

$A=\frac{1}{2}*apothem*perimeter$

in this problem we have

$apothem=2.16\ cm\\ perimeter=22.45\ cm$

substitute in the formula

$A=\frac{1}{2}*2.16*22.45$

$A=24.2\ cm^{2}$

therefore

the answer is

the area of the triangle is $24.2\ cm^{2}$

Answer 2

1/2(22.45 x 2.16)=24.