Grade 10 Sine Law Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 Sine Law Practice
Solve each problem. Show your work.
- 1.In triangle ABC, A = 70°, B = 56°, and side a = 10 cm. Find side b. Round sides to 1 decimal place.
- 2.In triangle ABC, A = 54°, B = 60°, and side a = 20 cm. Find side b. Round sides to 1 decimal place.
- 3.In triangle ABC, A = 74°, B = 75°, and side a = 18 cm. Find side b. Round sides to 1 decimal place.
- 4.In triangle ABC, A = 52°, B = 74°, and side a = 23 cm. Find side b. Round sides to 1 decimal place.
- 5.In triangle ABC, A = 72°, B = 40°, and side a = 13 cm. Find side b. Round sides to 1 decimal place.
- 6.In triangle ABC, A = 66°, B = 64°, and side a = 12 cm. Find side b. Round sides to 1 decimal place.
- 7.In triangle ABC, A = 68°, B = 40°, and side a = 22 cm. Find side b. Round sides to 1 decimal place.
- 8.In triangle ABC, A = 60°, B = 42°, and side a = 22 cm. Find side b. Round sides to 1 decimal place.
Show answer key
- Question 1: 8.8 cm
- Question 2: 21.4 cm
- Question 3: 18.1 cm
- Question 4: 28.1 cm
- Question 5: 8.8 cm
- Question 6: 11.8 cm
- Question 7: 15.3 cm
- Question 8: 17 cm
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About These Worksheets
Grade 10 students use sine law to solve non-right triangles when a side-angle opposite pair is available.
Sine law worksheets extend Grade 10 trigonometry beyond right triangles. Students use the sine law when they have a matching angle-side pair and need to find another side or angle. The main challenge is recognizing when the sine law is appropriate, then setting up the proportion with corresponding angles and opposite sides.
These worksheets include acute triangles, oblique triangles, missing side questions, missing angle questions, and applied measurement problems. Students practise drawing or marking diagrams, matching each side with its opposite angle, cross-multiplying, and using inverse sine when needed. The sine law also introduces the ambiguous case in some courses, where the given information may produce more than one possible triangle. This builds careful reasoning rather than formula substitution alone.
Skills Practised
- Matching each side with its opposite angle
- Setting up sine law proportions
- Solving for missing sides
- Solving for missing angles with inverse sine
- Recognizing when sine law is appropriate
Parent Tip: Sine law errors usually start with mismatched pairs. Use the answer key for the final value, and have your teen photograph the diagram if you need help checking the setup.