can you please explain the answer to me

Answer:
[tex]b=\sqrt{7}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know a and c we can plug that in to find out what b could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\3^2+b^2=4^2\\9+b^2=16\\b^2=7\\\sqrt{b^2}=\sqrt{7}\\b=\sqrt{7}[/tex]
So b would equal whatever the square root of 7 is.