Right-angled Triangles, SM-Bank 048

The size of a computer monitor is determined by the length of the diagonal of the screen. Use Pythagoras' Theorem to calculate the size of the monitor in the diagram below. (2 marks)

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\(51\ \text{centimetres}\)

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

\(\text{Let }a=24\ \text{and }b=45\)

\(\text{Then}\ \ c^2\)	\(=24^2+45^2\)
\(c^2\)	\(=2601\)
\(c\)	\(=\sqrt{2601}\)
\(c\)	\(=51\)

\(\text{The size of the monitor is }51\ \text{centimetres}\)