## 30-60-90 Special Right Triangles Assignment

Product Description

Right Triangles - **30 60 90 Special Right Triangles Notes and Practice**

This packet includes information on teaching 30 60 90 Special Right Triangles. I have included:

*** Teacher Notes with worked out formulas, diagrams and workout examples.(the diagram on the first page comes from my set of **Right Triangle Unit Vocabulary Cards and Posters**)

*** Student Notes so that they can follow along and work out the problems as the teacher explains the information

*** A 22 question practice/homework sheet that includes an answer key.

I also have a similar set of notes available on **45-45-90 Special Right Triangles****45 45 90 Special Right Triangles Notes and Practice**.

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You can also buy my **45-45-90 and 30-60-90 Right Triangle Notes** bundled together at: **Special Right Triangles 45-45-90 and 30-60-90 Notes and Practice Bundle**.**Please check out my other right triangle resources:****Right Triangles Trig Bellwork/Exit Cards/Station Questions****Geometry Right Triangles Trig Bellwork Exit Cards Station Questions**.**Vocabulary and Games****Geometry Right Triangles Trigonometry Square Roots BINGO Game**.**Geometry Right Triangles Trigonometry Square Roots Vocabulary Matching Activity**.**Classroom Notes with Assignments and Answer Keys:****Soh Cah Toa (Sin Cos Tan) Introduction To Trigonometry Notes and Practice**.**The Pythagorean Theorem Notes and Practice**.**The Law of Sines Notes and Practice**.**Angles of Elevation and Depression Notes and Practices One and Two**.**Square Roots and Simplifying Radicals**.**Converse of the Pythagorean Theorem Investigation Activity:****The Converse of The Pythagorean Theorem Investigation Activity**.**Wall Posters for Display of Main Concepts:****Right Triangle Unit Vocabulary Cards and Posters**.**Right Triangle Unit Vocabulary CCSS and I-Cans Wall Hangings**.**Vocabulary Assignment and Puzzles****Right Triangle Unit Vocabulary Assignment and Puzzles**.**Extra Practice Worksheets ****Sin Cos and Tan Soh Cah Toa Trigonometry Riddle Practice Worksheet**.**Geometry Pythagorean Theorem Riddle Worksheet**.**Geometry Simplifying Square Roots Riddle Worksheet**.**Geometry Special Right Triangles Practice Riddle Worksheet**.**Geometry Angles of Elevation and Depression Riddle Practice Worksheet**.**Graphic Organizers:****Right Triangles and Trigonometry Graphic Organizers**.**Unit Review:****Right Triangles Unit Review**.**Notecards****Geometry Right Triangles Trigonometry Square Roots Note Cards**.

While each product can be purchased individually at the above links -- ** You can save 20% by buying the entire unit bundled together!!!****Right Triangles Complete Unit Bundle****Geometry Right Triangles Complete Unit Bundle**.

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Teaching Duration

50 minutes

Although all right triangles have special features– trigonometric functions and the Pythagorean theorem. The most frequently studied right triangles, the special right triangles, are the 30,60,90 Triangles followed by the 45 45 90 triangles.

### The 30 60 90 Special Right Triangle

The picture below illustrates the general formula for the 30 60 90 Triangle.

#### General Formula

#### Specific Examples

### 45 45 90 Special Right Triangle

#### Some Sepcific Examples

**Practice** Using Special Right Triangles

##### Problem 1

What is the value of z in the triangle below?

(Don't use the Pythagorean theorem . Use the properties of special right triangles described on this page)The 30$$^{\circ}$$ and 60$$^{\circ}$$ angles give this one away. x = 6

2x =12

z = $$ x \sqrt{3} = 6\sqrt{3} $$

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