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PQRS is a square .N and and M are midpoint of side SR and QR respectively .O is a point on diagnol PR such that OP=OR.show that ONRM is a square.also find

the ratio of ar.(NRMO)and ar.(PQRS).


I can only tell the ratio it is pqrs:nrmo
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As PQRS is a square,
RN=RM  -----------------------(1)
As O is the midpoint of PR, RO=OP -----------------(2)
In triangle RNO,(by Pythagoras theorem)
NO= \sqrt{ OR^{2}- RN^{2}  }
THUS all 4 sides are equal
it is a square
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