# Special Right Triangles (Trigonometry Emphasis)

How do you tell if a triangle is a special right triangle? A right-angled triangle is one of the most important shapes in geometry. A right-angled triangle is a triangle in which one of the angles is 90° in measure. A sum of angles of a triangle needs to be 180°. However, if the remaining angles of the right-angled triangle are of 45° each, then it's called a special right triangle. Nonetheless, if you want to know how to spot a special right triangle quickly, you need to keep in mind a few tips. Firstly, if a square is divided from the diagonal, then it is said to be a special right triangle. Moreover, if you don't have a protractor, you must know that the lengths of the sides have a similar pattern. In hindsight, the length of perpendicular and base is x, while the hypotenuse has the length of x √ 2, with x being any number. These worksheets and lessons have students work with special right triangle and use trig functions to find many known values.

### Aligned Standard: HSF-TF.A.3

- Trigonometry Operations Step-by-Step Lesson- Many students will over estimate their skill with these problems. Remind them with more problems.
- Guided Lesson - The trig. based problems run wild, like a zoo full of hunger turtles. Did you get it?
- Guided Lesson Explanation - You can find all the values when you take time to analyze what each measure means.
- Practice Worksheet - By the time you get through problem five, it should all be downhill from there.
- Matching Worksheet - Now I ask you to find the exact value. Tangent throws off the most people, I'm just not sure why.

- Answer Keys - These are for all the unlocked materials above.