Question

The diagonal of a square is 10 √2 units,
Find lengths of its sides and its perimeter. ​

Answer 1

Answer:

side=10 units

perimeter=40 units

Step-by-step explanation:

we know that, each angle in a square is 90°

∴the triangle formed by diagonal is a right angled triangle ,hence we can use pythagoras theorem to find the sides ...

acc to pythagoras theorem,

$hupotenuse^{2} =height^{2} +base^{2}$

given,diagonal=hypotenuse=10√2 units

                        base=height =$side^{2}$

∴(10√2)²=side²+side²

             =2 side²

 200=2 side²

 200/2=side²

  100=side²

∴side=√100

        =10 units

∴perimeter of square=4×s

                  =4×10

                  =40 units

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