Perimeter of equilateral triangle with side 1 is 3 units.
The perimeter of a regular polygon is the total length of all its sides added together. Since all the sides of a regular polygon are the same length, we can find the perimeter by simply multiplying the side length by the number of sides.
Finding the side length of the equilateral triangle:
The image shows an equilateral triangle with the following side lengths:
Side 1: 5 - 2x
Side 2: -4x + 9
Base: i
Since the triangle is equilateral, all three sides have the same length. Therefore, we can set the side lengths equal to each other and solve for x:
5 - 2x = -4x + 9
x = 4
This means that each side of the triangle has a length of 5 - 2x = 5 - 2 * 4 = 1.
Finding the perimeter of the equilateral triangle:
The perimeter of the equilateral triangle is simply the sum of the lengths of all three sides:
Perimeter = Side 1 + Side 2 + Base
Perimeter = 1 + 1 + 1
The perimeter of the equilateral triangle is 3 units
The perimeter of the regular polygon is 3 units.
Additional information:
The image also includes the following information:
5-2x \[-4x+9\]
This information is not relevant to the problem of finding the perimeter of the regular polygon, but it may be relevant to other problems related to the triangle. For example, the information could be used to find the area of the triangle or to determine the length of the altitude of the triangle.