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Equations, SM-Bank 069

Find the value of  \(\large c\)  in the formula \(c^2=a^2+b^2\) given \(a=12\) and \(b=14\). Assume  \(\large c\)  is positive and give your answer correct to 2 decimal places.  (2 marks)

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\(c\approx 18.44\)

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\(c^2\) \(=a^2+b^2\)
\(c^2\) \(=12^2+14^2\)
\(c^2\) \(=144+196\)
\(\sqrt{c^2}\) \(=\sqrt{340}\)
\(c\) \(=18.4390\ldots\)
  \(\approx 18.44\)