Question

the diagonal of a square has a length of 10cm. find the length of a side of a square.

Answer 1

let the length of the side be 'a'.

consider the triangle ADC
by applying Pythagoras theorem you get,
10^2=a^2+a^2
=>100=2a^2
=>a^2=50
=>a=sqrt(50)
=>a=5 x root (2)