Answer: [tex]b=\sqrt{95}[/tex]
Step-by-step explanation:
To solve for b, we want to use the Pythagorean Theorem as given.
b and 7 are the legs, and 12 is the hypotenuse.
[tex]7^2+b^2=12^2[/tex] [exponent]
[tex]49+b^2=144[/tex] [subtract both sides by 49]
[tex]b^2=95[/tex] [square root both sides]
[tex]b=\sqrt{95}[/tex]
Now we know [tex]b=\sqrt{95}[/tex].
