Question

The perimeter of an equilateral triangle is 6n - 15. Write an expression to represent the length of each side.

Answer 1

Start by sketching an equilateral triangle, and name each side as "x"

The perimeter is the sum of all the sides of a figure, then,

`\begin{gathered} P=x+x+x \\ P=3x \end{gathered}`

equal the expression found to the perimeter given,

`3x=6n-15`

solve the expression for x,

`\begin{gathered} x=(6n-15)/(3) \\ x=(6n)/(3)-(15)/(3) \\ x=2n-5 \end{gathered}`

Answer:

The expression that represents the length of each side is 2n-5