Question

An equilateral triangle has a perimeter P . The length of one side is p/3 . Which exprecion is equivalent to the length of one side

3p
2\3p
1/3p
3/4p

Answer 1

p/3 is the same as p*1/3 so the third option

Answer 2

The expression which is equivalent to the length of one side of the equilateral triangle is:

`(1)/(3)p`

Explanation:

Since we are given the Perimeter of the equilateral triangle as: P

We know that Perimeter is the sum of all the sides of a triangle.

Also, the triangle is a equilateral triangle this means that the sum of the length of all the sides of a triangle is equal to p

Let the length of one side be x

i.e. we have:

`x+x+x=p\\\\i.e.\\\\3x=p\\\\i.e.\\\\x=(p)/(3)`

which is equivalent to:

`(1)/(3)p`