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

User KinsDotNet
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1 Answer

6 votes

Answer:

The required equation is
b=√(c^2-a^2)

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=√(c^2-a^2)

Hence the required equation is
b=√(c^2-a^2)

User AravindaM
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