In a triangle ABC, D,E & F are any 3 points on sides AB,BC & CA
respectively..given that
1)AD=BE=CF &
2) angle(ADF=BED=EFC)
we need to prove that ABC is equilateral. ny help??
Draw a figure with the given details and you will be able to see that the traingles ABC and ADF are similar. Also the traingles ABC and BDE are similar. So for each pair the corresponding sides will have the same ratio. From these relationships you can get a proportionality of sides in traingles ADF and BDE. Hence you can say that ADF and BDE are similar. Hope you can continue.