Geometry
Multi-Step Trigonometry Worksheets
Solve connected right-triangle problems by finding a shared length before calculating the requested measurement.
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Solving Right Triangles Worksheets
Use known angles and sides to solve right triangles with clear diagrams and worked trigonometric steps.
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Identify the known measurements and choose a relationship containing the unknown.
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Customize this worksheetUse the standard side convention
Side a is opposite A, side b is opposite B and side c is the hypotenuse opposite right angle C.
Learning objective
What this activity builds
Solve a missing side with right-triangle relationships.
Worked example
A right triangle has hypotenuse 10 and an acute angle of 30 degrees. Find the opposite side.
5.
sin(30 degrees) = opposite / 10, so opposite = 10 × 0.5 = 5.
Teaching notes
Make the practice count
- Distinguish the opposite side from the adjacent side.
- Write the equation before rearranging.
- Do not round an intermediate length.
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Choose the target side names and orientation. Each task uses one printed angle and one independent side.
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A useful next step
Related activities
Geometry
Trigonometric Ratios Worksheets
Find sine, cosine and tangent from labelled right triangles and give simplified ratios.
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