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Right-angled Triangles, SM-Bank 042

Find the value of the pronumeral in the right-angled triangle below, giving your answer in exact surd form.  (2 marks)

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\(c=\sqrt{277}\)

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\(\text{Pythagoras’ Theorem states:  }c^2=a^2+b^2\)

\(\text{Let }a=9,\ \text{and }b=14\)

\(\text{Then}\ \ c^2\) \(=9^2+14^2\)
\(c^2\) \(=277\)
\(c\) \(=\sqrt{277}\)