Calculate Triangle Perimeter: 3-4-5 Right Triangle Challenge

Question

Find the perimeter of the triangle ABC

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Video Solution

Solution Steps

00:06 Let's find the perimeter of the triangle. Ready?
00:10 To do this, we'll add up all the sides. The perimeter is the total of all three sides.
00:15 Now, we'll take each side length from our problem. Add them together, and that gives us the perimeter.
00:22 Great job! That's how we find the perimeter of a triangle.

Step-by-Step Solution

To find the perimeter of triangle ABC \triangle ABC , we need to sum the lengths of its sides:

  • Side AB=3 AB = 3
  • Side BC=4 BC = 4
  • Side CA=5 CA = 5

Using the formula for the perimeter of a triangle:

Perimeter=AB+BC+CA \text{Perimeter} = AB + BC + CA

Substitute the known values:

Perimeter=3+4+5 \text{Perimeter} = 3 + 4 + 5

Perimeter=12 \text{Perimeter} = 12

Thus, the perimeter of triangle ABC \triangle ABC is 12\mathbf{12}.

From the multiple-choice options provided, the correct choice is option 1: 12.

Answer

12