Suppose you know the length of the diagonal of a square. How can you find the side length of the square? Explain.

Question

with out using pythagoras theorem how do i explain this ? because we havent read pythagoras theorem unit yet

so plz help me out

Comments

if a make another square (B) of side length equal to diagonal of given square ( let say A) then square B area must be doubled the area of square A ??

Answer 1

d^2 = a^2 + a^2

d^2 = 2a^2

a^2 = d^2/2

a= sgrt(d^2/2) = d/sgrt2 = (d*sgrt2)/2

Comments

u used pythagoras  theorem , i have to solve it without using pythagoras theorem