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

An equilateral triangle is a triangle in which all three sides are of equal length. If \( a \) is the side-length of the equilateral triangle, then the perimeter \( P \) 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 \( a \), the perimeter \( P \) is calculated as:

\[ P = a + a + a \]
\[ P = 3a \]

So, the perimeter of the equilateral triangle is \( 3a \).

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 \( a \)?
2. How do you calculate the height of an equilateral triangle with side length \( a \)?
3. What is the perimeter of a regular hexagon with side length \( a \)?
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.

Discover how to calculate the perimeter of an equilateral triangle with side length a using a straightforward formula. This problem explores basic geometric concepts and the properties of equilateral triangles, making it suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation