Pythagorean theorem states that the square of hypotenuse is the sum of the squares of the two other sides.
If c is the hypotenuse, therefore:
c² = a² + b²
c² = (12)² + (8)²
c² = 144 + 64
c² = 208
[tex] \sqrt{c ^{2} } = \sqrt{208} [/tex]
[tex]c = \sqrt{(16)(13)} [/tex]
[tex]c = 4 \sqrt{13} [/tex] is the hypotenuse