A rhombus is a parallelogram whose sides are congruent. The diagonals of rhombus are perpendicular to each other. They also bisect each other. In this post, we are going to find the general formula for finding the area of a rhombus using these properties. We are going to learn two methods.
Consider the rhombus below.
We can divide it into two congruent triangles using diagonal . Since the diagonals of a rhombus are perpendicular to each other, we can use as base and one half of as the height of the upper triangle (Why?). If we let be the area of the upper triangle, then, calculating its area, we have » Read more
A picture is worth a thousand words, even in mathematics. Most of the time, complicated algebraic statements can be shown using geometric representations. One example is the sum of
which when added equals 1.
In this post, we show another geometric proof without words. Proof without words is not a proof per se but rather a representation that will help readers understand the proof. » Read more
For math contest enthusiasts, if you are preparing for MATHCOUNTS or other middle school and high school math contests, then the MATHCOUNTS Trainer App is a good app that you can try. The app contains thousand of problems from previous School, Chapters, and National Mathcounts. Note that all problems in this app have full solutions. For those who are not familiar with MATHCOUNTS, it is a nationwide mathematics competitions for middle school students in the United States.
In using this app, you can track your progress, compete with other players, and climb the Leaderboard.
The MATHCOUNTS Trainer app is FREE and available for iPhone, iPad, and iPod Touch. It also works offline.