Answer:
The required equation is [tex]b=\sqrt{c^2-a^2}[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]c= \sqrt{a^{2}+b^{2}} [/tex]
Solve the equation for b.
Square both the sides.
[tex]c^2= a^{2}+b^{2}[/tex]
Subtract a² from both the sides.
[tex]c^2-a^2= b^{2}[/tex]
Square root both the sides.
[tex]b=\sqrt{c^2-a^2}[/tex]
Hence the required equation is [tex]b=\sqrt{c^2-a^2}[/tex]