How to Build Triangles With Trigonometry

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How you will go about building triangles with trigonometry depends on if you're talking about right triangles or non-right triangles. Build triangles with trigonometry with help from a mathematics educator in this free video clip.

Part of the Video Series: Trigonometry Education
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Video Transcript

Hi, I'm Jimmy Chang, and we're here to talk about how to build triangles with trigonometry. Now, when it comes to building triangles with trigonometry, you want to think about building them with using angles or sides, but it depends on if you're talking about right triangles or non-right triangles. So, here's a couple things to think about here. It's all about the definitions at the end of the day, especially when it comes to right triangles, because you want to think about sine of an angle is equal to the opposite leg over the hypotenuse. The cosine of an angle in a right triangle is the adjacent leg over the hypotenuse, and then the tangent of an angle is equal to the opposite leg over the adjacent leg. Now, also take advantage of the fact that A squared plus B squared is equal to C squared, where, in a right triangle, the leg of a square plus the other leg of a square is equal to the hypotenuse squared. Now, these are the things that you can use to help build the parts of a right triangle. Now, for non-right triangles, you can use a couple of tools such as the law of sines, as well as the law of cosines. These will help build the triangles that do not have a ninety degree angle, and there are formulas associated with that for which you can look them up on your own. But, basically, the bottom line is you can build the triangles any which way as long as you have the tools necessary. So, I'm Jimmy Chang, and that's how to build triangles using trigonometry.

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