Question

13. The length of a diagonal of a square is 8.
Find the length of each side of the square.​

Answer 1

Step-by-step explanation:

$well \\ \\ we \:know \: that \: the \: diagonal \: of \: square \: is \: \sqrt{2} a \: where \: a \: is \: side \\ \\ given \: \sqrt{2} a = 8 \\ \\ so \: a = 4√2$

the length of side of square is 4√2.

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Answer 2

Answer:

Step-by-step explanation:

Let ABCD be a square

So its diagonals will be AC and BD

AC = BD = 8units

Using Pythagoras Theorem,

AC² = AB² + BD ²

AC² = AB² + AB²             (Sides of a square are equal)

64 = 2AB²

AB² = 32

AB = √32 units = 4√2 units

So each side of square will be 4√2 units

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