Question

The diagonal of a square is 2 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form.

Answer 1

$diagonal \: = \sqrt[]{2} \times side \\ 2 = \sqrt[]{2} \times side \\ side = \frac{2}{ \sqrt[]{2} } \\ side = \frac{2}{ \sqrt[]{2} } \times \frac{ \sqrt[]{2} }{ \sqrt[]{2} } \\ side = \frac{2 \: \sqrt[]{2} }{2} \\ side = \sqrt{2} \\ side = 1.14cm$
ANS: The length of the side of this square is 1.41 cm.

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