Question

An equilateral triangle and a square have the same perimeter. Each side of the square measures 6 cm. What is the length of each side of the triangle?

Answer 1

Hey there! Thanks for the question!

Given that, A equilateral triangle and a square has same perimeter.

Also, It is given that, Side of the square = 6cm

Now, Perimeter of the square = 4 * Side

= 4 * 6

= 24 cm.

It is also given that , Perimeter of the square = Perimeter of the equilateral triangle.

We know that, Perimeter of equilateral triangle = 3 * side.

According to the question,

3 * Side of equilateral triangle = 24

Side of equilateral triangle = 24/3 = 8cm .


Therefore, The length of each side of the triangle = 8cm

Answer 2

Given in the question, perimeter of equilateral triangle = perimeter of square






3 × side of equilateral triangle = 4 × side of sqaure,


So,


$3(side \: o f \: triangle\: ) = 4 \times 6 \: cm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ | \: side \: = 6 \: cm} \\ \\ side \: o f \: triangle\: = \frac{4 \times 6}{3} cm \\ \\ \\ side \: o f \: triangle\: = 8 \: cm$





So, Length of each side is 8 cm