Special Right Triangles worksheet with radical simplification exercises and missing side length problems.

Worksheet titled "Special Right Triangles Notes Continued" with fill-in-the-blank questions about radicals and practice problems for multiplying and dividing radicals, followed by six examples of right triangles with given angles and side lengths to find missing sides.

PNG 1687×2249 288.3 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #330326

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: Special Right Triangles Notes and Worksheets - Lindsay Bowden

▼

- Some special right triangles may require you to simplify radical expressions.
- The symbol for a radical is √.
- You cannot leave a radical in the denominator of a fraction.
- Therefore, you need to rationalize the denominator.

Practice multiplying and dividing radicals:
1. $\frac{5\sqrt{2}}{2}$
2. $\frac{2\sqrt{3}}{3}$
3. $2\sqrt{2}$
4. $\frac{14\sqrt{3}}{3}$
5. $5\sqrt{3}$

More Examples: Find all missing side lengths.

1. Legs: $\frac{5\sqrt{2}}{2}$
2. Opposite 60°: $2\sqrt{3}$, Hypotenuse: 4
3. Opposite 30°: 3, Hypotenuse: $6\sqrt{3}$
4. Legs: $4\sqrt{2}$
5. Legs: $5\sqrt{2}$
6. Side opposite 30°: $\frac{q}{2}$, Side opposite 60°: $\frac{q\sqrt{3}}{2}$

Parent Tip: Review the logic above to help your child master the concept of applying special right triangles worksheet.

Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

Related worksheets: applying special right triangles worksheet