Question

If the length of a diagonal of a square is 8 cm, find the length of the side of the square.​

Answer 1

Answer:

4$\sqrt{2}$

Step-by-step explanation:

diagonal is root of the sum of squares of its sides.

also that the sides are equal.

so considering length of side to be s and diagonal to be d

$d^{2}$= $s^{2}$+$s^{2}$

$d^{2}$=2$s^{2}$

d=$s\sqrt{2}$

now putting d=8cm

we get 8=$s\sqrt{2}$

8/$\sqrt{2}$=s

s=4$\sqrt{2}$

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