Question

Find the diagonal of a square whose each side is
16 cm.

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Answer 1

Given :

• Measure of each side of a square is 16 cm

To find :

• The diagonal of the given square

Solution :

The relation between measure of side and the measure of diagonal of a square is given by ,

$\boxed {\rm{diagonal \: of \: square = \sqrt{2} \times side \: of \: the \: square }}$

We have ,

• Measure of the side of the square as 16 cm

By substituting the value we get ,

$: \implies \rm \: diagonal \: of \: the \: square = \sqrt{2} \times 16 \: cm \\ \\ : \implies \rm \: diagonal \: of \: the\: square = 16 \sqrt{2} \: cm \\ \\ : \implies \rm \: diagonal \: of \: the \: square \: = 16 \times 1.414 \: cm \\ \\ : \implies \rm \: diagonal \: of \: the \: square = 22.62 \: cm$

Hence , The measure of the diagonal of the square whose side measures 16 cm is 16$\sf{\sqrt{2}}$ cm (or) 22.62 cm

Note :

• The value of $\sf{\sqrt{2}}$ is taken as 1.414