Geometry
Solving Right Triangles Worksheets
Use known angles and sides to solve right triangles with clear diagrams and worked trigonometric steps.
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Inverse Trigonometric Ratios Worksheets
Find acute angles from two or three labelled sides using inverse sine, cosine or tangent.
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Choose all sides, two sides or a mixture, then calculate the marked angle.
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Customize this worksheetChoose the ratio from the printed pair
Use inverse sine, cosine or tangent with the two available sides, and keep the calculator in degree mode.
Learning objective
What this activity builds
Choose an inverse trigonometric ratio from known side lengths.
Worked example
The opposite side is 3 and the adjacent side is 4. Find angle A.
37 degrees.
tan A = 3/4, so A = arctan(3/4), rounded to the nearest whole degree.
Teaching notes
Make the practice count
- Use degree mode.
- Choose a ratio using two given sides.
- Keep the full calculator value until the final rounding.
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Choose your options, update the preview, then download the exact same pages.
Choose how many sides are shown and the triangle orientation. Answers use whole degrees.
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A useful next step
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Geometry
Multi-Step Trigonometry Worksheets
Solve connected right-triangle problems by finding a shared length before calculating the requested measurement.
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