Question

The area of a triangle is 43.5.The apothem of that triangle is 2.9What is the length of each side of the triangle.

Answer 1

the length of each side of the triangle is 10

Step-by-step explanation:

Area of the triangle = 43.5

apothem of the triangle = 2.9

The foormula:

`\text{Area = }\frac{1}{2\text{ }}aP`
`\begin{gathered} a\text{ = apothem= 2.9} \\ P\text{ = ?} \\ 43.5\text{ = 1/2 (2.9)(P)} \end{gathered}`
`\begin{gathered} 43.5\text{ = }1.45P \\ P\text{ = 43.5/1.45} \\ \text{P = 30} \end{gathered}`

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