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Sergio039 [100]
3 years ago
15

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.
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

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}

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Step-by-step explanation:

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