Calculate the Perimeter: Equilateral Triangle with 5-Unit Sides

Question

The three sides of the triangle ABC 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 Equal sides according to the given data
00:14 The triangle's perimeter equals the sum of its sides
00:21 Substitute in the side values and proceed to solve for the perimeter
00:26 This is the solution

Step-by-Step Solution

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

  • Step 1: Identify the side length of the equilateral triangle, which is given as 5 5 .
  • Step 2: Use the formula for the perimeter of an equilateral triangle: Perimeter=3×side length \text{Perimeter} = 3 \times \text{side length} .
  • Step 3: Substitute the given side length into the formula and calculate the perimeter.

Now, let's work through each step:
Step 1: The side length of triangle ABC is 5 5 .
Step 2: The perimeter formula for an equilateral triangle is 3×s 3 \times s , where s s is the side length.
Step 3: Plugging in the side length, we get:
Perimeter=3×5=15 \text{Perimeter} = 3 \times 5 = 15

Therefore, the perimeter of triangle ABC is 15 15 .

Answer

15

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