how can we proove the converse of basic proportionality theorm
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given - AD /DB = AE /EC......... ......1 equation
DE ll BC
AD / DB = AF/ FC............. 2 equation
adding equation 1and2 we get,
AE/ EC = AF / FC
adding 1 in both side
AE /EC +1 = AF / FC +1
AE + EC /EC = AF+FC / FC
AC/EC= AC / FC
1/EC =1/FC
FC = EC
DE ll BC
AD / DB = AF/ FC............. 2 equation
adding equation 1and2 we get,
AE/ EC = AF / FC
adding 1 in both side
AE /EC +1 = AF / FC +1
AE + EC /EC = AF+FC / FC
AC/EC= AC / FC
1/EC =1/FC
FC = EC
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