Answer: 12.0
Step-by-step explanation: We need to find the length of one of the leg piece, so this is how we will set up our equation (x is the missing side length):
1. [tex]x^{2}[/tex] + [tex]5^{2}[/tex] = [tex]13^{2}[/tex] (Simplify the square roots)
2. [tex]x^{2}[/tex] +25 = 169 (Subtract 25 from 169)
3. [tex]x^{2}[/tex] = 144 (Take the square root of both sides)
4. x = 12 or 12.0.