Linking sum of counting numbers to triangle area

We have discussed how Gauss was able to add the first 100 counting numbers, and we found ways how to generalize his method.  In this post, we connect his method to the calculation of the area of triangles. Adding the first few counting numbers is easy. However, as the numbers become larger, counting becomes harder. […]
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Area Tutorial 5 – Area of a Trapezoid

In this tutorial, we are going to derive the area of a trapezoid. A trapezoid (sometimes called a trapezium) is a quadrilateral with exactly one pair of parallel sides. Trapezoid PQRS is shown below, with PQ parallel to RS.  We have learned that the area of the trapezoid with bases and and altitude is given […]
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Area Tutorial 3 – Area of a Parallelogram

In the previous area computation tutorials, we have learned how to compute the area of a rectangle and the area of a triangle.  In this tutorial, we are going to learn how to compute the area of a parallelogram. In Figure 1, we have parallelogram ABCD with given base and the dashed segment as its […]
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