If A B C ~ E D F and A B C is not similar to D E F, then which of the following is not true?
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Answer:
If △ABC∼△EDF, then
ED
AB
=
DF
BC
=
EF
AC
∴
ED
AB
=
DF
BC
⇒AB×DF=BC×ED
DF
BC
=
EF
AC
⇒BC×EF=AC×DF
ED
AB
=
EF
AC
⇒AB×EF=AC×ED
∴ BC×DE
=AB×EF
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