Math Problem Statement

If a is the side-length of the equilateral triangle, then the perimeter of the triangle will be?

Solution

An equilateral triangle is a triangle in which all three sides are of equal length. If aa is the side-length of the equilateral triangle, then the perimeter PP of the triangle is given by the sum of the lengths of all its sides.

Since all three sides are equal and each side is aa, the perimeter PP is calculated as:

P=a+a+aP = a + a + a P=3aP = 3a

So, the perimeter of the equilateral triangle is 3a3a.

Would you like more details or have any other questions? Here are 5 numbered questions for you to ask next:

  1. What is the area of an equilateral triangle with side length aa?
  2. How do you calculate the height of an equilateral triangle with side length aa?
  3. What is the perimeter of a regular hexagon with side length aa?
  4. How do you find the area of a regular polygon?
  5. What is the formula for the perimeter of an isosceles triangle?

Tip: In geometry, always remember to label your diagram clearly and indicate known values to help visualize and solve the problem effectively.

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Math Problem Analysis

Mathematical Concepts

Geometry

Formulas

Perimeter of an equilateral triangle

Theorems

Properties of equilateral triangles

Suitable Grade Level

Grades 6-8