Math Problem Statement

The side of an equilateral triangle is l cm long. If l = 5, write the actual value of the perimeter (in cm).

Solution

The problem involves calculating the perimeter of an equilateral triangle with a given side length.

For an equilateral triangle, the perimeter PP is given by the formula: P=3×lP = 3 \times l where ll is the length of one side of the triangle.

Here, l=5cml = 5 \, \text{cm}. Substituting this value into the formula: P=3×5=15cmP = 3 \times 5 = 15 \, \text{cm}

So, the perimeter of the equilateral triangle is 15 cm.

Would you like more details or have any other questions?

Here are 5 related questions:

  1. How do we calculate the area of an equilateral triangle if the side length is known?
  2. What is the significance of an equilateral triangle in geometry?
  3. How does the perimeter formula change for a non-equilateral triangle?
  4. Can you derive the formula for the height of an equilateral triangle using its side length?
  5. How does the perimeter of an equilateral triangle compare to other types of triangles?

Tip: The sum of the angles in any triangle always equals 180°, and in an equilateral triangle, each angle is 60°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Equilateral Triangle
Perimeter

Formulas

Perimeter of an equilateral triangle: P = 3 × l

Theorems

Properties of an equilateral triangle: All sides are equal, and each angle is 60 degrees.

Suitable Grade Level

Grades 5-6