Math Problem Statement
Solution
The problem in the image is asking about the perimeter of an equilateral triangle, where the perimeter is a function of the side length . Since an equilateral triangle has three equal sides, the perimeter formula is:
Now, let's solve the given problems:
a. Find
Substitute into the formula for :
So, .
b. Find
Substitute :
So, .
c. Find
This part is simply the general expression for the perimeter:
Let me know if you need further clarification! Here are five related questions to expand your understanding:
- What is the perimeter of an equilateral triangle if each side is 5 units long?
- If the perimeter of an equilateral triangle is 18, what is the side length?
- How does the perimeter change if the side length is doubled?
- What is the area of an equilateral triangle given its side length?
- How would you express the perimeter if the side length is a fraction, such as ?
Tip: The perimeter of any regular polygon (like an equilateral triangle) is always the number of sides multiplied by the side length.
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Math Problem Analysis
Mathematical Concepts
Geometry
Functions
Equilateral Triangle
Formulas
P(s) = 3s (Perimeter formula for an equilateral triangle)
Theorems
-
Suitable Grade Level
Grades 6-8
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