Question

Represent the above relationship between the number of triangles and the perimeter of the figures they form by filling in the table below. Show your work. Picture included

Answer 1

I'm not entirely sure the format you want the answer in but the table filled out is 

1 triangle/ perimeter of 17
2 triangles/ perimeter of 22
3 triangles/ perimeter of 27

The relationship is every time you add a triangle the perimeter goes up 5
So it's something like 

perimeter= 17+5(# of triangles)  

So if P=perimeter and T= # of additional triangles, the relationship would be

P= 17+5t

I hope this is what you're looking for! 

Answer 2

The perimeter of the triangle is $\boxed{17}.$

The perimeter of the two triangles is $\boxed{22}.$

The perimeter of the three triangles is $\boxed{27}.$

The relationship between the number of triangles and the perimeter is $\boxed{12 + 5n}.$

Further explanation:

The perimeter the triangle can be obtained as follows,

$\boxed{{\text{Perimeter}} = a + b + c}$

Given:

Explanation:

The perimeter of one triangle can be obtained as follows,

$\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5\\&= 17\\\end{aligned}$

The perimeter of the triangle is $\boxed{17}.$

The perimeter of one triangle can be obtained as follows,

$\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5 + 5\\&= 22\\\end{aligned}$

The perimeter of the two triangles is $\boxed{22}.$

The perimeter of one triangle can be obtained as follows,

$\begin{aligned}{\text{Perimeter}} &= 6 + 6 + 5 + 5 + 5\\&= 27\\\end{aligned}$

The perimeter of the three triangles is $\boxed{27}.$

The relationship between the number of triangles and the perimeter can be expressed as follows,

$\begin{aligned}{\text{Perimeter}}&= 17 + \left( {n - 1} \right) \times 5\\&= 17 + 5n - 5\\&= 12 + 5n\\\end{aligned}$

Here, $n$ represents the number of sides.

The relationship between the number of triangles and the perimeteris $\boxed{12 + 5n}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangles

Keywords: Number, relationship, triangles, perimeter, number of triangles, 2 triangles, 3 triangles, table, between the sides, represents.