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# Labeling Trigonometry Triangles

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Labeling Triangles for Trigonometry. How to label a Right Triangle before applying Trigonometry to it.

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### Labeling Trigonometry Triangles

1. 1. Image Source: www.tributehomes.com.au
2. 2. The “Trigonometry” mathematics of Triangles is used extensively in Building and Architecture. Image Source: http://www.infoteli.co
3. 3. The "Trigon" part of "Trigonometry" refers to a three sided geometrical shape, eg, a Triangle. Trigon = 3 sides, Hexagon = 6 sides, Octagon = 8 sides, etc. The "metry" part of "Trigonometry" refers to the activity of measuring. So the word "Trigonometry" means : Measurements of the Sides and Angles in Triangles. The full story on Trigonometry actually extends beyond Triangles: Trigonometry is a branch of mathematics which deals with triangles, circles, waves and oscillations. However, we will only be looking at Triangles in this Presentation.
4. 4. Basic Trigonometry only works for Right Angled Triangles.
5. 5. The Angle in a Right Triangle is not called “x” or “y”, but is assigned the special Greek letter Ѳ which is called “theta”. Other letters used are “phi” φ , “alpha” α , and “beta” β Ѳ o
6. 6. The Hypotenuse or “HYP” or just “H” is the LONGEST SIDE of the Right Triangle. It is the long sloping side opposite the Right Angle. Ѳ o
7. 7. The Opposite or “OPP” or just “O” is the SIDE of the Right Triangle opposite the angle Ѳ We call it the “Rocket Opposite” eg. Think of where a rocket launched from the Ѳ would hit the Triangle. Ѳ o Opposite-OPP-O
8. 8. The Adjacent or “ADJ” or just “A” is the SIDE of the Right Triangle next to the angle Ѳ The Adjacent runs between θ and the right angle. Ѳ o Adjacent - ADJ - A
9. 9. We recommend labeling the Triangle in the following order: “Hypotenuse” longest side first, then do the “Rocket Opposite”, and finally label the “Adjacent” as the side running in between the slope angle θ and the 90 degree Right Angle. Ѳ o Adjacent - ADJ - A Opposite-OPP-O
10. 10. We can also label the Triangle for the other Angle as follows: “Hypotenuse” longest side first, then do the “Rocket Opposite”, and finally label the “Adjacent” as the side running in between the slope angle θ and the 90 degree Right Angle. β o Opposite - OPP - O Adjacent-ADJ-A
11. 11. http://passyworldofmathematics.com/ All slides are exclusive Copyright of Passy’s World of Mathematics Visit our site for Free Mathematics PowerPoints