Respuesta :

Answer:

[tex]16[/tex]

Step-by-step explanation:

In a right triangle, the Pythagorean Theorem goes as follows:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are legs of the triangle.

We can set up the following equation using the information given:

Let [tex]x[/tex] be the missing side:

[tex]12^2+x^2=20^2,\\144+x^2=400,\\x^2=256,\\x=\boxed{16}[/tex]