Question

what is the diagonal of square whose side is 4
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Answer 1

Answer:

4√2=4*1.41

=5.64m

Step-by-step explanation:

given,side of square=4m

diagonal if square=a√2

=4√2

=4*1.61

=5.64m

Answer 2

Answer

We know that all sides of a square are of same length.

Also we know that all angle of square are 90°

Diagonal is a line from one vertex to the opposite vertex.

A diagonal divides the square in two right angled triangles.

We can apply pythagoras theorem here,

$\implies \rm (side)^2 + (side)^2 = (diagonal)^2$

i.e

$\implies \rm (4)^2 + (4)^2 = (diagonal)^2$

$\implies \bf\sqrt{16 + 16} = diagonal$

$\implies \rm \sqrt{32} = diagonal$

$\implies \rm 4\sqrt2 \:unit= diagonal$

$\implies \bf 5.656\: units = diagonal$