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Right-angled Triangles, SM-Bank 036

Find the value of the pronumeral in the right-angled triangle below.  (2 marks)

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\(c=70\)

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

\(\text{Let }a=42,\ \text{and }b=56\)

\(\text{Then}\ \ c^2\) \(=42^2+56^2\)
\(c^2\) \(=4900\)
\(c\) \(=\sqrt{4900}\)
\(c\) \(=70\)