Triangle Perimeter Calculation: Finding the Sum of Sides 7, 8, and 14

Find the perimeter of the triangle ABC

777141414888AAABBBCCC

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00:00 Determine the perimeter of the triangle
00:03 The perimeter of the triangle equals the sum of its sides
00:07 Substitute in the relevant values according to the given data and solve for the perimeter
00:12 This is the solution

Step-by-step written solution

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1

Understand the problem

Find the perimeter of the triangle ABC

777141414888AAABBBCCC

2

Step-by-step solution

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

  • Step 1: Identify the given information.
  • Step 2: Apply the perimeter formula for a triangle.
  • Step 3: Perform the addition to find the perimeter.

Now, let's work through each step:

Step 1: We have the lengths of the sides of ABC \triangle ABC as follows:
AB=7 AB = 7 , BC=14 BC = 14 , and CA=8 CA = 8 .

Step 2: We'll use the formula for the perimeter of a triangle, which is the sum of its side lengths:
P=AB+BC+CA P = AB + BC + CA .

Step 3: Plugging in the values, we calculate:
P=7+14+8=29 P = 7 + 14 + 8 = 29 .

Therefore, the perimeter of ABC \triangle ABC is 29\textbf{29}.

3

Final Answer

29

Practice Quiz

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Find the perimeter of the triangle ABC

777141414888AAABBBCCC

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