Question

In quadrilateral ABCD, if side DC is largest then $AB+AD>DC-BC$
If the above statement is true then mention answer as 1, else mention 0 if false

Answer 1

In $△ABC$, we have sum of two sides > third side
$=>AB+BC>AC$ -- (1)
Also, in $△ADC$, we have sum of two sides > third side
$=>AD+AC>DC$ ---- (2)
Adding equations $1,2$ we get
$=>AB+BC+AD+AC>AC+DC$
$=>AB+AD>DC-BC$