5 Fascinating Facts About Triangles That Will Surprise You

If you have enjoyed the wonders and beauty of mathematics shown in this blog, here are some addition for you to appreciate it more. Below are some of the most amazing facts about triangles.

1. The three altitudes of meet at a common point. This point is called the orthocenter of the triangle.

orthocenter

2. The three lines from each vertex to the midpoint of the opposite side also meet at a common point called centroid of the triangle. » Read more

How to Create Regular Star Polygons

Star Polygons

Star polygons are non-convex polygons that look like a star. They are created by connecting non-adjacent vertex of a polygon and continuing the process until the first vertex is reached again.

star polygons

Star polygons created from regular polygons are called regular star polygons. Four regular star polygons are shown above. » Read more

Introduction to Geometric Construction

In Geometry, the term construction refers to a precise way of drawing using two tools, an unmarked straightedge and a compass. The straightedge is assumed to have an infinite length and has no markings.  In constructions, these tools and only these tools must be used to construct lines, curves, and polygons.  Shown below is an animation showing  how to construct a square using compass and straightedge.

Square construction

The Construction Rules

In construction, aside from the tools, there are specific rules to be followed. These rules are the following.  » Read more

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