Question

the pythagorean theorem, given by the formula ( a^2 + b^2 = c^2 ), relates the three sides of a right triangle. solve the formula for the positive value of ( c ) in terms of ( a ) and ( b ).

answer attempt 1 out of 2
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Explanation:

Step1: Start with the Pythagorean theorem formula

We have the formula \(a^{2}+b^{2}=c^{2}\).

Step2: Solve for \(c\) (positive value)

To solve for \(c\), we take the square root of both sides of the equation. Since we want the positive value of \(c\) (as side lengths are positive), we have \(c = \sqrt{a^{2}+b^{2}}\) (we discard the negative square root because the length of a side of a triangle cannot be negative).

Answer:

\(\sqrt{a^{2}+b^{2}}\)