The formula c=[tex] \sqrt{a^{2}+b^{2} } [/tex] represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equation for b. Show your work.

Respuesta :

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]