Question

O is a point inside a quadrilateral ABCD. Show that
OA+OB+OC+OD > AC+BD .

Answer 1

Hi friend
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Your answer
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Given that : -

O is a point inside a quadrilateral ABCD.

To prove : - OA + OB + OC + OD > AC + BD.

Now,
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OA + OB > AC .......(I)

OC + OD > BD .........(ii)

Then,
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Adding (I) and (ii), we get ,
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OA + OB + OC + OD > AC + BD

Hence, proved.

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