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Question

In a quadrilateral ABCD
AB+BC+CD+DA>2AC
Say true or false.

A
True
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B
False
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C
Ambiguous
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D
Data insufficient
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Solution

The correct option is A True
InthequadrilateralABCD.ConsiderABCAB+BC>AC:sumoftwosidesisgreaterthanthethirdside>1InADCAD+DC>AC:sumoftwosidesisgreaterthanthethirdside>2Adding1and2wegetAB+BC+AD+DC>2AC

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