Question

The length of the diagonal of a square is 20cm it's area is​

Answer 1

Answer:

10

Step-by-step explanation:

let the side be x

we know that ...the diagonal= 2x^2

so

20 = 2× x^2

x = √10

then the area = x^2

(√10)^2= 10

Answer 2

Step-by-step explanation:

when the diagonal of a square is drawn it divides the square into two right angled Triangles of hypotenuse 20 cm

${hypotenuse}^{2} = {side}^{2} + {side}^{2}$

${20}^{2} = {x}^{2} + {x}^{2}$

$400 = 2 {x}^{2}$

20 = 2x

X = 10

Area of square = 10 * 10

$= 100 {cm}^{2}$

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