An equilateral triangle has a perimeter of 15x³ + 33x⁵ feet. What is the length of each side?

Solution:

Given, the perimeter of an equilateral triangle = 15x³ + 33x⁵ feet

We have to find the length of each side of an equilateral triangle.

An equilateral triangle is a triangle in which all the three sides are equal and all three interior angles are equal and each equal to 60°.

Perimeter = 3(length of side of triangle)

So, the length of the side of the triangle = perimeter / 3

Length of each side = 15x³ + 33x⁵ / 3

Taking out 3 common from numerator, we get,

15x³ + 33x⁵ = 3(5x³ + 11x⁵)

Now, length of each side = 3(5x³ + 11x⁵) / 3

= (5x³ + 11x⁵)

Therefore, the length of each side of an equilateral triangle is 5x³ + 11x⁵.

An equilateral triangle has a perimeter of 15x³ + 33x⁵ feet. What is the length of each side?

Summary:

An equilateral triangle has a perimeter of 15x³ + 33x⁵ feet. The length of each side is 5x³ + 11x⁵.