Triangle Series
T is the set of all triples ( a , b , c ) of positive integers for which there exist triangles with side lengths a , b , c .
Find ( a , b , c ) ∈ T ∑ 3 b 5 c 2 a
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1 solution
You're taking JEE this January?
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Umm....nope, I am in class 11th.........preparing for next year, in FIITJEE...........but, I am giving INMO this year........!!!! What about you??? If I am not mistaken, you are in 12th right??
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Yes, I'm in 12th. Wish me luck
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@Digvijay Singh – Ohh!!!! Best of luck man!!!!! I just hope that your physics and chemistry skills are as good as your calculus skills!!!! :)
@Digvijay Singh – Hey...Could you PLEASE post a solution for your problem Wild Flower .......??? I don't even know where to start and I did not get anything after searching on the net...........
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@Aaghaz Mahajan – Sorry, very busy right now, but i can tell you it's very much related to Coxeter's integrals
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@Digvijay Singh – Ohhh no problem......But thanks for the hint......!! I will read about them......!!
@Digvijay Singh – Hey.....!! How was JEE??? What is your percentile???
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@Aaghaz Mahajan – It was alright.. 99.57
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@Digvijay Singh – That's a great score dude!!!!!! Niceee!!!! You should start preparing for JEE Advanced now...........Also, I wonder, have you ever given INMO ??? Seeing your mathematics skills I think you might have atleast got to the IMOTC...........
@Digvijay Singh – I hope I am not bothering you........But, could you please suggest me any good books for learning geometry???
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@Aaghaz Mahajan – Oh no problem, happy to help. Try this
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@Digvijay Singh – Thanks a looooot!!!! Your books and problems both have helped me a loot!!!!
Hint :- Ravi Substitution ......
Solution :- Check out this ........