Question

The diagonal of square is 10square root 2 find lengths of its sides and its perimeter

Answer 1

Heya mate, Here is ur answer

We know that each angle of a square= 90° .

So, using Pythagoras theorem that states that in a right angled triangle, the sum of squares of other two sides gives the square of the hypotenuse.

Hypotenuse^2 = Base ^2 + Perpendicular^2

In square all the sides are equal.

So, hypotenuse= diagonal

Base = Side = perpendicular

So, diagonal^2= side ^2 + side ^2

(10√2)^2= 2 side ^2

200= 2 side ^2

200/2 = side ^2

100= side ^2

√100= side

10 units = side.

So, the perimeter of square= 4×side

=4×10

=40 units.

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Warm regards

@Laughterqueen

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Answer 2

Step-by-step explanation:

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