Question

.The length of a diagonal of a square land is 40√2 m. The length of one side of the land is
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Answer 1

Answer:

The length of one side of the land is 40m

Step-by-step explanation:

The length of the diagonal of a square is given

All the sides of the square are equal and adjacent sides form right angle between them, so we can say that two adjacent sides and a diagonal together form a right angles triangle.

The hypotenuse of the triangle is the diagonal, and the sides are the base and height

The diagonal= $40\sqrt{2}$m

According to Pythagoras' theorem,

$(hypo)^{2} =(base)^{2} +(height)^{2}$

Let us consider the side of the square to be x m

$(40\sqrt{2} )^{2} =x^{2} +x^{2} \\2x^{2} =3200\\x^{2} =1600\\x=40$

The side of the square land is 40m