Respuesta :

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]