Why the Area of a Rhombus Half the Product of its Diagonals

A rhombus is a parallelogram with four congruent sides. Since it is a parallelogram, it has also all the properties of a parallelogram. One of these properties is that the diagonals bisect each other. That is, they divide each other into two equal parts.

Another property of a rhombus is that the diagonals are perpendicular. So, summarizing all the properties above, if we have rhombus ABCD, then,

\overline{AB} \cong \overline{BC} \cong \overline{CD} \cong \overline{DA}.


\overline{AC} \perp \overline{BD}. Continue reading

Math Expressions and Graphs in Google Docs with g(Math)

Last week, I wrote about a tutorial on how to create math expressions in a Google Forms using Latex. Embedding of Latex in Google Docs documents can be made using the new g(Math) Google Docs Add On. Although Google Docs has a built in equation editor, the addition of Latex through g(Math) can make embedding of more complicated equations possible.

In addition to Latex, you can also create graphs using g(Math). Once you have added this add on, you can create graphs using the side bar of your Google Docs window.

Watch John McGowan, creater of g(Math), demonstrates how to use g(Math) on Google Docs.

For those who are not familiar with Latex, it is a typesetting system used to create scientific documents. It can also be used to create complicated math expressions. You can read my introduction and brief tutorial about latex in case you don’t know about it.


TED Video Lecture: The Mathematics of Love

Mathematics has evolved so much that is found everywhere, even in love. In this talk, mathematician Hannah Fry shows patterns in how we look for that special, and gives three tips on how do we find the love of our life.

Although I have some questions (like how do you know how you past 37%  of the number of women you date), most part of  the talk was very interesting. For instance, being good looking in a dating website does not really imply being popular.

Watch the video and be amazed of how mathematics can be used to interpret behavior in finding love and handling relationship.

I hope this video will help the people out there who are still looking for the love of their life. ;)


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