Question

What is the length of the diagonal of square ABCD if AB=7?

Answer 1

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

In square ABCD , AB = 7 units

We have formula for finding diagonal of square :-

$\huge{\boxed{\boxed{\green{\sf{d \: = \: {\sqrt{2}}a}}}}}$

Where,

d = diagonal

a = side of square

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___________[Put Values]

$\large{\sf{D \: =\: {\sqrt{2}} \times 7}}$

$\LARGE{\implies}{\boxed{\sf{D \: = \: 9.9 \: units}}}$

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Given ,

$\star$Side of a square = 7 units

We know that ,

$\large \sf \fbox{ \fbox{Diagonal \: of \: square = \sqrt{2} \times side}}$

$\implies \sf Diagonal = \sqrt{2} \times 7 \\ \\ \implies \sf Diagonal =7 \sqrt{2} \: \: units$

Hence , 7√2 units is the required value