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

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 $\triangle ABC$ as follows:
$AB = 7$, $BC = 14$, and $CA = 8$.

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

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

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