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??

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- Feb 16th 2011, 06:23 AMshubhamproof ques
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?? - Feb 17th 2011, 04:15 PMSudharaka
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.

- Feb 17th 2011, 09:49 PMshubham
how can you say ABC and ADF are similar,,dear,,it is not given that DF//BC ...(Wondering)

- Feb 17th 2011, 09:50 PMshubham
nor any such condition is given where you can prove ADF similar to ABC..

- Feb 17th 2011, 10:24 PMSudharaka
- Feb 18th 2011, 05:11 AMshubham
ohhk..