Answer:
n = 12
Step-by-step explanation:
using Pythagoras' identity in the right triangle
a² + b² = c²
c is the hypotenuse and a, b the legs
here a = n, b = 5 and c = 13 , then
n² + 5² = 13²
n² + 25 = 169 ( subtract 25 from both sides )
n² = 144 ( take square root of both sides )
[tex]\sqrt{n^2}[/tex] = [tex]\sqrt{144}[/tex] , then
n = 12
