Question

The formula c=rt{a^{2}+b^{2} } " alt=" \sqrt{a^{2}+b^{2} } " align="absmiddle" class="latex-formula"> represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equation for b. Show your work.

Answer 1

Answer:

The required equation is $b=\sqrt{c^2-a^2}$

Step-by-step explanation:

Consider the provided equation.  

$c= \sqrt{a^{2}+b^{2}}$

Solve the equation for b.

Square both the sides.

$c^2= a^{2}+b^{2}$

Subtract a² from both the sides.

$c^2-a^2= b^{2}$

Square root both the sides.

$b=\sqrt{c^2-a^2}$

Hence the required equation is $b=\sqrt{c^2-a^2}$