Question

Find the side and perimeter of a square whose diagonal is 10 cm
In figure 2.21. DFE - 90".
FOLED, IPOD = 8.FO = 12,
find (1) BG (2) FD and (3) EP
Fig. 2.21​

Answer 1

Question :-

• Find the side and perimeter of a square whose diagonal is 10 cm.

Answer

Given :-

• Diagonal of a square is 10 cm

To find :-

• (i) side of square
• (ii) Perimeter of square

Formula used :-

In square,

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

$\boxed{\bf \:Perimeter\:of\:square=4 \times side}$

Solution: -

Diagonal of a square = 10 cm

We know

$\bf \:diagonal = \sqrt{2} \times side$

$\bf\implies \:10 = \sqrt{2} \times side$

$\bf\implies \:side \: = \dfrac{10}{ \sqrt{2} }$

$\bf\implies \:side = \dfrac{10}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} }$

$\bf\implies \:side = \dfrac{10 \sqrt{2} }{2}$

$\bf\implies \:side = 5 \sqrt{2} \: cm$

★ Now, we have to find Perimeter of square.

We know,

$\boxed{\bf \:Perimeter\:of\:square=4 \times side}$

$\bf\implies \:Perimeter = 4 \times 5 \sqrt{2}$

$\bf\implies \:Perimeter = 20 \sqrt{2} \: cm$

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Answer 2

Answer:

this is correct......................