Given a right triangle $a\text{'}b\text{'}c\text{'}$ with side lengths $a\text{'}$ = $5$ cm, $b\text{'}$ = $12$ cm, and $c\text{'}$ = $13$ cm, what is the perimeter of the triangle?

• A. $52$ cm
• B. $39$ cm
• C. $26$ cm
• D. $13$ cm

Answer: (B)

Verified step by step guidance

1. Identify the sides of the right triangle: the given sides are \(a' = 5\) cm, \(b' = 12\) cm, and \(c' = 13\) cm. Since this is a right triangle, \(c'\) is the hypotenuse (the longest side).
2. Recall that the perimeter of a triangle is the sum of the lengths of all its sides. So, the perimeter \(P\) is given by the formula: \(P = a' + b' + c'\).
3. Substitute the given side lengths into the perimeter formula: \(P = 5 + 12 + 13\).
4. Add the side lengths together to find the total perimeter: \(P = 5 + 12 + 13\) (do not calculate the sum yet, just set up the expression).
5. The final step is to compute the sum to find the perimeter of the triangle.