Special Right Triangles Worksheets
Updated on November 20, 2025
Special right triangles are a type of triangle that have unique properties aligned with the Pythagorean theorem. Learning about these triangles will set your child up on a journey of success in geometry.
And the Brighterly’s special right triangles worksheet is there to help your child learn more about these interesting shapes, their properties, and how to work with them!
What are special right triangles?
Special right triangles are a type of right-angled triangle that have even more specific properties than standard right-angled triangles. These shapes either have angles of 30, 45, and 90 degrees, or 30, 60, and 90 degrees, and obtain consistent side ratios.
Right triangle trig worksheet: Examples
Help your children learn everything there is to know about right triangles with Brighterly’s special right triangles practice worksheet. For example, they can master finding the area and perimeter of these triangles through hands-on activities.
Special right triangles worksheet [free download]
Get started today with these worksheets and download the free PDF documents below. The great thing about them is that they are super versatile. You can print them or use them digitally, and they can be used in the home, at school, and even in tutoring lessons. No matter the way you choose to use them, a child’s knowledge will improve anyway!
More triangles worksheets
- Missing angle in a triangle worksheets
- Angles in a triangle worksheets
- Classifying triangles worksheets
Want to help your child learn more about triangles? Download our complementary worksheets on topics like types of triangles, classifying triangles, and triangle angles.
Benefits of solving right triangles worksheets
- Contain an answer sheet
- Teach foundational skills
- Provide visual support
- Align with the US educational standards
- Are printable
Right triangles worksheets contain an answer sheet
These worksheets come with a special right triangles worksheet answer key, which allows students to assess their own work and see where they went right and wrong. It also helps them study independently, as they put their critical thinking skills to the test without outside support.
Note: Children who build independent study skills are more likely to have a strong sense of structure in math and are better able to spot links between math concepts. It was revealed in a paper presented at the International Conference on Science and Education and Technology.
45-45-90 triangle worksheet teaches foundational skills
As kids get to grips with special right triangles, they need to know their unique properties and what distinguishes the two types. Each special right triangles worksheet with answers builds that foundational knowledge and helps them understand how the type differs from other triangles, like isosceles triangles. Kids will also learn key triangle properties, including cosine, sine, and tangent.
A special right triangle worksheet provides visual support
But of sharing explanations and math problems, the special right triangles worksheet with answers PDF uses a range of visuals to bring special right triangles to life. By seeing how these shapes take form, children can gain a better understanding of them and find them easier to work with.
Note: Using visualizations in math is proven to aid children’s understanding of a range of concepts, making them feel more tangible. This is according to an Educational Research Review paper.
Right triangle worksheet aligns with the US-accepted state standards
Each special right triangles worksheet PDF contains content aligned with the US state math standards. The topics that schools teach your children are dictated by these standards, which is why our worksheets are guaranteed to complement and even improve your child’s school learning.
The special right triangles practice worksheet is printable
These resources are available in PDF format, so you can print them easily. This opens up a world of possibilities for your child. Not only can you give them an educational activity at home that takes them away from their screens, but they can also be completed at your child’s convenience.
Note: Writing down notes and answers has been proven to help children retain more information, which is key to mastering math. This was discussed in a recent New Scientist study.
Special right triangles worksheet PDF: Practice
Once your child has completed their special right triangles worksheet, their educational journey is not over yet!
Next, why not give them a good special right triangles practice with grade-adjusted, knowledge-check tests? These interactive quizzes offer instant feedback and let your children test their newly acquired skills.
Alternatively, parents can help their schooler out with our full range of 6th grade math worksheets now.
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