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Right-angled Triangles, SM-Bank 041

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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\(c=\sqrt{269}\)

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

\(\text{Let }a=10,\ \text{and }b=13\)

\(\text{Then}\ \ c^2\) \(=10^2+13^2\)
\(c^2\) \(=269\)
\(c\) \(=\sqrt{269}\)