Hi!
We can solve this using the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse.
Given:
1 leg = 13
2 leg = ???
hypotenuse = 15
Plug the values into the equation above:
[tex]13^2+b^2=15^2[/tex]
Multiply using exponents:
[tex]169+b^2=225[/tex]
Subtract 169 from both sides:
[tex]b^2=56[/tex]
Take the square root of both sides:
[tex]b=[/tex][tex]\sqrt{56}[/tex]