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1
∆AMO~∆BMO(From SAS)
then
OAM=OBM
AOM=BOM
OMA=OMB
Since, OMA and OMB is on line AB
then
OMA+OMB=180
2 OMA =180
OMA. = 90
OMB. = 90
then
OM perpendicular to AB
Answered by
0
soln-given,
Toprove-OM is perpendicular to AB
proof-in triange AMO &BMO
Aom=Bom
OmA=OmB=90dproved
MAo=MBo
Therefore,Ao=BO
<oMA=<oMB(=90)
0M=OM(common side)
therefore,∆AMo~∆BMo(SAs)
since,∆oMA & ∆oNB is on line AB
oMA+OMB=180°
oMA+oMA=180°(from i)
2 oMA=180°
OMA=180°/2
oMA=90°
therefore,OM is perpendicular to AB.
Hence pproved
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