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## Geometry for Beginners – The Most Important Formulas in Geometry

Welcome to Geometry for Beginners. If you’ve read many of these Geometry for Beginners articles, you’ve started to realize that Geometry has a lot of formulas! In fact, it is the most formula-dependent of all math subjects. You might start to wonder if all the formulas are equally important, hoping that you can skip learning some of them. My first advice to you is this * the most important formulas are the ones you understand, memorize and can use easily*. These formulas lead you to success, while formulas you can’t use lead to failure. I will admit, however, that there are areas of formulas that I consider CRITICAL to both your Geometry course and your future.

To be successful in your Geometry class, you must be able to understand and use all the formulas you encounter. There are, however, three areas where the formulas are critical because of their real-life applications. You cannot afford to have any gaps in your knowledge in these critical areas.

**3 most important categories of geometry formulas:**

**1) Everything to do with triangles.** Since the study of the triangle comprises almost all of Geometry, most of Trigonometry, and has countless real-life applications, simply **you have to learn everything!**

You will study the Pythagorean Theorem and the Pythagorean Triples that allow you to find *the sides of the right triangles are missing*. You will learn “Special Cases” of right triangles (30-60 right triangles and 45 right triangles) that allow you to find missing sides and/or angles.

You will learn the meaning and usage of SOHCAHTOA (pronounced sew-cah-toe-a). It allows you to find *angles and/or sides are missing from ANY right triangle*.

The Law of Sines and the Law of Cosines will allow you to do the same for *non-right triangles*.

You really need to know everything!

**2) Two-dimensional concepts of perimeter and area of polygons.** Because these formulas have so many real-life applications—property closings, house carpeting, painting, landscaping, construction, etc.—these formulas are extremely important. You will learn formulas for many different polygons and to prove successful in your class, you must learn them all; but you should root the formulas for triangles, quadrilaterals, hexagons and circles.

**3) Three-dimensional concepts of surface and volume. **Go to any grocery store to find applications of these concepts. The packaging of a cereal box represents the surface area while the cereal itself represents the volume. A soda/pop can represents the surface; the pop represents the volume. A tissue box represents the surface. The fabrics represent the volume.

The number of possible three-dimensional figures is huge, so focus on those figures with common real-life applications. Surely, this includes spheres, cylinders, cones and prisms and pyramids with 3, 4 or 6 sides at the base.

In short, anything to do with triangles is fundamental and MUST be learned thoroughly. As you cover other topics, judge importance by daily application. If you’re ever in doubt, ask your teacher. Don’t forget my opening statement though. **The most important formulas for you are the ones you learn and can use!**

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