Question

In a square the lenght of diagonal of square is
10 root 2 cm,find the length of each side of a square​

Answer 1

Answer:

Length of the side of the square is 10 cm

Step-by-step explanation:

Length of diagonal is L=$10\sqrt{2}$ cm

Let sides of the square be $x$

from the square, using Pythagoras theorem

$Diagonal^2 =side^2+side^2\\L^2=x^2+x^2\\(10\sqrt{2} )^2=2x^2\\x^2=\frac{100\times2}{2} \\x^2=100\\x=\sqrt{100} \\x=10 cm$

Length of the side of the square is 10 cm