Right triangles and trigonometry: practice and worksheets
Solve right triangles with the Pythagorean theorem and sine, cosine, and tangent ratios.
Concept overview
Right-triangle relationships connect side lengths and acute angles. Choose the Pythagorean theorem when sides are involved, or a trigonometric ratio when an angle and sides are related.
Key points
- Identify the hypotenuse opposite the right angle before choosing a formula.
- Use SOH-CAH-TOA to select sine, cosine, or tangent.
- Check that a calculated length is positive and reasonable for the diagram.
Worked example
A right triangle with legs 6 and 8 has hypotenuse √(6² + 8²) = √100 = 10.
Try it free
Answer a few questions without signing in. You will get instant feedback, but open-preview progress is not saved.
Questions by difficulty
Right triangles and trigonometry worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Right triangles and trigonometry?
Start with foundation questions, check each answer, and move up a level after several correct answers in a row.
How many practice questions are available?
IQClub currently has 115 published questions for this skill.
Can I use this for test preparation?
Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.