Question

1. each triangle is equilateral. is the relationship between the perimeter and the side length of the equilateral triangles proportional? explain. 1 in. 2 in. 3 in.

Explanation:

Step1: Recall perimeter formula

For an equilateral triangle, the perimeter $P$ with side - length $s$ is given by $P = 3s$.

Step2: Check proportionality definition

Two quantities $y$ and $x$ are proportional if $y=kx$ where $k$ is a non - zero constant. Here, $P$ (perimeter) and $s$ (side - length) satisfy $P = 3s$, and $k = 3$ (a non - zero constant).

Answer:

Yes, the relationship between the perimeter and the side length of equilateral triangles is proportional because the perimeter $P$ of an equilateral triangle is given by the formula $P = 3s$, where $3$ is a non - zero constant of proportionality.