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b(i) a
Consider Tri-QO^N
OQ is the perpendicular bi-sector. And therefore angle O will be 45^degrees. If we consider tri-MO^N then we know than angle N^ is also = 45^ and therefore the Tri-QO^N is an icosceles. Therefore we can say that OQ=QN.
therefore QN = x. Now as OQ is perpendicular bisector so MN = 2QN. there
MN= 2x
Consider Tri-QO^N
OQ is the perpendicular bi-sector. And therefore angle O will be 45^degrees. If we consider tri-MO^N then we know than angle N^ is also = 45^ and therefore the Tri-QO^N is an icosceles. Therefore we can say that OQ=QN.
therefore QN = x. Now as OQ is perpendicular bisector so MN = 2QN. there
MN= 2x