Question

find side of square whose diagonal is 10√3

Answer 1

hey mate
here is your answer

as we know that,
diagonals of square are of equal length and they bisect forming 90° angle

and as square is made up of two triangles

height of a triangle is half the lenght of diagonal
and base = lenght of diagonal

area of square = sum of diagonals= side square

$10 \sqrt{3} \times 10 \sqrt{3} = {s}^{2} \\ 100 \sqrt{9} = {s}^{2} \\ 300 = {s}^{2} \\ 17.32 = s$
length of side is 17.32
hope it helps