Answer:
[tex]b=14.0524019299[/tex]
Step-by-step explanation:
Use the Pythagorean theorem to solve: [tex]a^2+b^2=c^2[/tex]
[tex](6.3)^2+b^2=(15.4)^2[/tex] <-- plug in a and c values into equation
[tex]39.69+b^2=237.16[/tex] <-- take out parentheses
[tex]b^2=197.47[/tex] <-- subtract 39.69 from both sides
[tex]b=14.0524019299[/tex] <-- take the square root of 197.47
Not sure how much you want to round to so that's the exact answer.
