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Right-angled Triangles, SM-Bank 045

Use Pythagoras' Theorem to calculate the height of the building below.  (2 marks)

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\(80\ \text{metres}\)

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

\(\text{Let }a=h,\ b=150\ \text{and }c=170\)

\(h^2+150^2\) \(=170^2\)
\(h^2\) \(=170^2-150^2\)
\(h^2\) \(=6400\)
\(h\) \(=\sqrt{6400}\)
\(h\) \(=80\)

 
\(\text{The height of the building is }80\ \text{metres}.\)