#### Answer

30 in

#### Work Step by Step

Lets give the name ABC to the right triangle
By pythagoras theorem
$AB^{2}$ =$AC^{2}$ + $CB^{2}$
$AB^{2}$ = $5^{2}$ + $12^{2}$
$AB^{2}$ = 25 + 144
AB = 13
By definition of perimeter,
The perimeter of the triangle ABC = AB+BC+CA
=13 + 5 +12
=30 in