if the area of two similar triangle is equal to that they are congruent
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area(ABC)=area(DEF)
area(ABC)/area(DEF)=AB²/DE²=BC²/EF²=AC²/DF²
AB²=DE²
BC²=EF²
AC²=DF²
AB=DE
BC=EF
AC=DF
By SSS congruency
ΔABC≈ΔDEF
area(ABC)/area(DEF)=AB²/DE²=BC²/EF²=AC²/DF²
AB²=DE²
BC²=EF²
AC²=DF²
AB=DE
BC=EF
AC=DF
By SSS congruency
ΔABC≈ΔDEF
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6
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