Question

ABCD is quadrilateral prove that AB+BC+CD+DA>AC+BD​

Answer 1

Step-by-step explanation:

let's say that this is a rectangle and the short side lengths (A and C) = 1 and the long side lengths (B and D) = 2. using substitution, the equation would now be:

1(2)+2(1)+1(2)+2(1)>1(1)+2(2)

=2+2+2+2>1+4

=4+4>5

=8>5