KiwiBee printable
Special right triangles
Free printable Algebra 2 worksheet: Special right triangles. 8 problems, increasing difficulty with star challenges. Instant PDF with answer key.
This worksheet provides challenging problems focused on special right triangles, emphasizing 30-60-90 and 45-45-90 triangles. Teachers can use it to reinforce students' understanding of unique side ratios and their applications in right triangle trigonometry. It supports skill development in recognizing patterns and solving complex geometry and algebra problems involving special triangles.
Learning objectives
- Identify and classify special right triangles based on their angle measures and side ratios
- Apply the properties of 30-60-90 and 45-45-90 triangles to solve for unknown side lengths
- Use special right triangle relationships to simplify trigonometric expressions and solve real-world problems
Answer Key
How to use this worksheet
- Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Likes & comments
See what other teachers think and share a helpful note.
Loading likes and comments…
Create more worksheets in our Worksheet Studio
Generate fresh worksheets for any grade, topic, and language — free.
Open the Worksheet StudioRelated worksheets

Csc, sec, and cot of special angles
Worksheets
hard
Ages 14–18

Inverses of csc, sec, and cot
Worksheets
hard
Ages 14–18

Pythagorean Theorem and its converse
Worksheets
medium
Ages 14–18

Trigonometric ratios: csc, sec, and cot
Worksheets
hard
Ages 14–18

Find trigonometric functions using a calculator
Worksheets
hard
Ages 14–18

Find trigonometric ratios using reference angles
Worksheets
hard
Ages 14–18

Find trigonometric ratios using the unit circle
Worksheets
hard
Ages 14–18

Inverses of sin, cos, and tan: degrees
Worksheets
hard
Ages 14–18
