Question

consider a swuare with side of lengh 's' and diagonal of length 'd'. write a formula expressing 'd' as a function of 's'...............is this correct: d(s) ?

Answer 1

\[d=s\sqrt{2}\]
This is because:
\[d^2=s^2+s^2\]
\[d^2=2s^2\]
Take square of both sides:
\[d=\sqrt{2s^2}\]
Simplify:
\[d(s)=s\sqrt{2}\]