Answer:
[tex]b=\sqrt{c^2-a^2}[/tex]
Step-by-step explanation:
The given relation is
[tex]c=\sqrt{a^2+b^2}[/tex]
To make [tex]b[/tex] the subject, we square both sides of the equation to get;
[tex]c^2=(\sqrt{a^2+b^2})^2[/tex]
[tex]c^2=a^2+b^2[/tex]
Isolate [tex]b[/tex] on one side of the equation;
[tex]c^2-a^2=b^2[/tex]
Or
[tex]b^2=c^2-a^2[/tex]
We take the positive square root of both sides to get;
[tex]b=\sqrt{c^2-a^2}[/tex]
