Question

Find perimeter of square if its diagonal is 10 root 2

Answer 1

Answer: Hey there, hope it'll help you.

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Step-by-step explanation:

Diagonal of a square  = √(2a²)      [where a= side of square]

So given:   √(2a²)=10√2

                 or,  2a² = 100×2                  [Squaring both side]

                 or,  a² = 100

                 or,  a=10

Now the perimeter of a square= 4a = 40

Answer 2

Answer:

Step-by-step explanation:

Diagonal of sqaure = 10root2

The diagonal cuts the square into 2 triangles

So let sides of 1st triangle be

(Hypotenuse)2 = altitude 2 +base2

( 10root2 )2 = 2(base2)

200/2 = base2

100 = base2

Root(100) =base

Base or side of triangle = 10

Perimeter of square = 4(side)

= 4(10)

= 40cm