Q4-)ABCD IS A QUADRILATERAL.
IS AB+CD+DA>AC+BD?
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ABCD is a quad.Its diagonals are AC and BD.
In triangle ACB, AB + BC > AC - .....eq. 1[IN A TRIANGE THE SUM TWO SIDES IS ALWAYS GREATER THAN THE THIRD SIDE]
In triangle BDC, BC + CD > BD - ......eq2
In triangle ACD, AD + DC > AC - ......eq3
In triangle BAD, AB + AD > BD - .....eq4
Adding 1,2,3 and 4,
AB + BC + BC + CD + AD + DC + AB + AD > AC + BD + AC + BD
2AB + 2BC + 2CD + 2AD > 2AC + 2BD(on canceling 2)
AB + BC + CD + AD > AC + BD.
PROVED
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