the length of each side of the triangle is 10
Explanation:Area of the triangle = 43.5
apothem of the triangle = 2.9
The foormula:
[tex]\text{Area = }\frac{1}{2\text{ }}aP[/tex][tex]\begin{gathered} a\text{ = apothem= 2.9} \\ P\text{ = ?} \\ 43.5\text{ = 1/2 (2.9)(P)} \end{gathered}[/tex][tex]\begin{gathered} 43.5\text{ = }1.45P \\ P\text{ = 43.5/1.45} \\ \text{P = 30} \end{gathered}[/tex]When applying apotem to a triangle, it is assumed the triangle is anequilateral triangle.
All three sides are equal.
Perimeter of the triangle = 3 × side of the triangle
30 = 3(side of the trianlge)
side of the triangle = 30/3
side of the triangle = 10
Hence, the length of each side of the triangle is 10
