Question

find the ratio of diagonal of a square to its side if side is 10 cm

Answer 1

Answer :-

Given :-

• Side = 10 cm

To find :-

• Ratio of diagonal to side

Solution :-

We know that,

Diagonal of square = side √2

Here, we have given the value of side. So,

• Diagonal = 10√2 cm

• Side = 10 cm

Ratio of diagonal to side = 10√2 : 10

= √2 : 1

Ratio of diagonal to side of square = √2 : 1

Additional information :-

For any square of side s,

Diagonal = s√2

Side = s

Ratio of diagonal to side - s√2 : s

= √2 : 1

So, for square with any side, the ratio of diagonal to side will always be √2 : 1.

Answer 2

QuestioN :

Find the ratio of diagonal of a square to its side if side is 10 cm

GiveN :

• Side = 10 cm

To FiNd :

The ratio of diagonal of a square

ANswer :

The ratio of diagonal of a square is (√2) : 1.

SolutioN :

$\sf Side\: of\: the\: square = 10 \:cm$

$\sf Length \: of \: the \: diagonal \:of \:the\:square$

$\sf = \sqrt{2} \:x\:\: side \:of\:the\:square$

$\sf = 10\sqrt{2} \:cm$

$\sf Length \:of \:diagonal\: of \:the\: square:\:Side\: of\: the \:square$

$\sf 10\sqrt{2\:cm} : \:10\:cm$

$\sf \frac{10\sqrt{2} }{10} =\frac{\sqrt{2} }{1} = (\:\sqrt{2}\: ):\:1$

∴Hence, The ratio of diagonal of a square is (√2) : 1.

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