Question

PQRS is a square N and M are the midpoints of sides SR and QR respectively O is a point on diagonal PR auch that OP=OR sow that ONRM is a square also find the ratio of ar ( triangle ORM ) and ar ( PQRS)

Answer 1

Draw diag according given statementIn ΔSRQ,O and M are mid point of side SQ and QRby mid point theorm0M// SR and OM=1/2SR=NRsimilarlyIN ΔSQR,by mid point theormON//RQ and ON=1/2RS=RMapposite sides are equal and parallel hence NOMR is a square

In ΔSORΔSON≡ΔNORSN=NRON=ONangle 90 degree in bothsimilarlyΔSON≡NOR≡ROM≡MOQ4area of ΔSON=1/2 area of PQRS area of ΔSON=1/8 area of PQRSarea of ΔORM/area of sqPQRS=1/8
Hope This helps :)

Answer 2

Answer:

1/8

Step-by-step explanation: