2. ABC is an equilateral triangle points D, E, F are taken on sides AB, BC, CA respectively such that AD = BE = CF.
Show that AE, BF, CD enclose an equilateral triangle.
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From given, we have,
△ABC is a bigger triangle
△DEF is a smaller triangle but inverted.
now, we have,
AD=BE=CF
DB=AF=FC because,
AB=BC=CA
So, triangle is equilateral triangle.
Step-by-step explanation:
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