why I'm getting 2 answers contrary to each other
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It is an extra of general math on chapter 6.3
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- why I'm getting 2 answers contrary to each other
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Re: why I'm getting 2 answers contrary to each other
Perhaps, nobody is getting my question.In the attachment you can see I got two results but they are contrary.The theorem is sum of any two sides of a triangle is greater than twice of the median drawn to the third side.Firstly, I proved that.It was AB+AC>2AD.However, interesting thing was in the second part where I proved the opposite thing which was 2AD>AB+AC.How is it possible?Does this mean that this theorem is wrong?
- nahin munkar
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Re: why I'm getting 2 answers contrary to each other
Nope, the theorem is not wrong. It's your little misunderstanding of the inequality section.kh ibrahim wrote:Perhaps, nobody is getting my question.In the attachment you can see I got two results but they are contrary.The theorem is sum of any two sides of a triangle is greater than twice of the median drawn to the third side.Firstly, I proved that.It was AB+AC>2AD.However, interesting thing was in the second part where I proved the opposite thing which was 2AD>AB+AC.How is it possible?Does this mean that this theorem is wrong?
# Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss
- nahin munkar
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Re: why I'm getting 2 answers contrary to each other
Look, ur second result is not always true.kh ibrahim wrote:Perhaps, nobody is getting my question.In the attachment you can see I got two results but they are contrary.The theorem is sum of any two sides of a triangle is greater than twice of the median drawn to the third side.Firstly, I proved that.It was AB+AC>2AD.However, interesting thing was in the second part where I proved the opposite thing which was 2AD>AB+AC.How is it possible?Does this mean that this theorem is wrong?
IF, $a$ > $b$, & $c$ > $d$ , then it is not always true that, $a-c$ > $b-d$ (that ur $2$nd result says.)
A counter-example can be stated, $(a,b,c,d)$= $(10,8,7,4)$. Hope this helps.
# Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss
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Re: why I'm getting 2 answers contrary to each other
You said that my second result is not always true.So if it is true in some cases, then wont the theorem be wrong?