Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #26 20130531 01:21:06
Re: triangle inequalityHi bobbym Last edited by anonimnystefy (20130531 01:21:18) The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #28 20130531 01:37:29
Re: triangle inequalityHi The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #30 20130531 01:46:22
Re: triangle inequalityHi The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #32 20130531 01:50:14
Re: triangle inequalityHi The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #33 20130531 01:57:19
Re: triangle inequalityThat long side has to have an altitude of greater than 83. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #34 20130531 02:00:30
Re: triangle inequalityWhy is that? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #35 20130531 02:01:58
Re: triangle inequalityBecause from that vertex on the left to the side all the way on the right can not be 83. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #36 20130531 02:05:40
Re: triangle inequalityHi The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #37 20130531 02:09:23
Re: triangle inequalityThat is the incenter. The altitude goes from a vertex to an opposite side making a right angle with that side. It is obvious from the point on the left to the side on the extreme right is greater than 499 and less than 582. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #38 20130531 02:11:49
Re: triangle inequalityUm, no, that is not the incenter. Did you see the picture above. The red dashed lines are all altitudes. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #39 20130531 02:20:17
Re: triangle inequalityWhere the three altitudes meet is called the orthocenter. But that is not important. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #40 20130531 02:22:16
Re: triangle inequalityIt is the line which goes through a vertex of a triangle and is perpendicular to the side of the triangle which is opposite to that vertex. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #41 20130531 02:30:25
Re: triangle inequalityExcuse the crudity of that drawing. I hastily just joined line segments to make a rough triangle. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #42 20130531 02:31:26
Re: triangle inequalityEG is not the altitude. The altitude of the triangle that goes through E is outside the triangle. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #43 20130531 02:34:43
Re: triangle inequalityPlease show your triangle. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #44 20130531 02:46:23
Re: triangle inequalityThere is only one triangle with sides 12, 14 and 83. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #45 20130531 03:01:04
Re: triangle inequalityYou mean with altitudes of 12, 14, 83. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #46 20130531 03:06:08
Re: triangle inequalityYes, altitudes. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #47 20130531 03:13:03
Re: triangle inequalityThere was a page that I thought I bookmarked that gave me the relationships in terms of inequalities. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #48 20130531 03:17:06
Re: triangle inequalityBetween? The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #49 20130531 03:21:58
Re: triangle inequalityThe lower bound: The upper bound: In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #50 20130531 03:24:26
Re: triangle inequalityThat is what I have too for the upper bound. Haven't done the lower bound, but it seems correct. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 