9) in given ∆ABC, if AE = 96 cm, BO:OD=7:5
& BE: EC=3:4, then find OE?
a) 64 cm
b) 60 cm
c) 70 cm
d) 65 cm
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Answer:
take BO=7a,OD=5a
Draw EF||BD,where F is on side AC
NOW triangle BDC is similar to EFC
SO Using similarly EF =48a/7
NOW TRIANGLE AOD IS SIMILAR TO AEF AO/AE=OD/EF
substitute values and get AO =70 cm So OE=26 cm
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