Tag Archives: Triangle inequality

Cauchy Schwarz Vs Triangle Inequality

Posted on June 16, 2018 by Sumant Sumant
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Triangle Inequality: Absolute Value version

Posted on July 14, 2017 by Sumant Sumant

Here is a proof of triangle inequality along with reverse triangle inequality with an important lemma to prove it.

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Prove that a converging sequence has only one limit point

Posted on July 6, 2017 by Sumant Sumant

This is another standard theorem in introductory real analysis. There are two ways one can prove it. One by using Triangle Inequality and other by using Proof by contradiction. Given: is a sequence that converges to both and . and … Continue reading →

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On sides of the triangle

Posted on January 3, 2015 by Sumant Sumant

Suppose form the sides of the triangle then show that , and   also form the sides of the triangle. Since are the sides of the triangle. This means that . Lets focus on the first one . If we … Continue reading →

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Point inside a triangle

Posted on January 3, 2015 by Sumant Sumant

There is a bound on sum of the distance of any point inside the triangle to the vertices. This is a classic problem

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