In square ABCD below, what is the value of (AC)(AD)/(AB)(DC)=?

In square ABCD below, what is the value of (AC)(AD)/(AB)(DC)=?

A ½

B 1

C √2

D 2

Solution

Correct Answer: Option C

BC2 = AC2 + AB2

BC = √(x2+ x2) = √2x

(AC)(AD)/(AB)(DC)

= x.√2x/(x.x)

=√2