Respuesta :

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.

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