Calculate Perimeter: Equilateral Triangle with 7-Unit Sides

Question

All of the sides of the triangle are equal. Calculate the perimeter of the triangle.

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Video Solution

Solution Steps

00:00 Determine the perimeter of the triangle
00:03 The sides are equal according to the given data
00:11 The perimeter of the triangle equals the sum of its sides
00:16 Substitute in the side values and proceed to solve for the perimeter
00:23 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Recognize the triangle is equilateral with all sides having the same length.
  • Step 2: Apply the perimeter formula for an equilateral triangle.
  • Step 3: Calculate the perimeter using the provided side length.

Now, let's work through each step:
Step 1: We are given an equilateral triangle with one side length 77. All sides in an equilateral triangle are the same, so each side is 77.

Step 2: The formula for the perimeter PP of an equilateral triangle is given by:
P=3s P = 3s where ss is the side length of the triangle.

Step 3: Plugging our known side length s=7s = 7 into the formula, we have:
P=3×7=21 P = 3 \times 7 = 21

Therefore, the solution to the problem is 21.

Answer

21