AI generatedGeometry and measuresGCSE Higher

Sine rule - finding a side

Sine rule: finding a side.

  • Label the sides and angles before choosing a rule.
  • Sine rule: matching opposite pairs. Cosine rule: three sides or two sides and the included angle.
  • Use degree mode. Keep full calculator accuracy until the final rounding step.

Example 1

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.

Example 2

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.

Your turn

Question 1

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.
Question 2

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.
Question 3

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.
Question 4

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.
Question 5

Find side a. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Pair each side with its opposite angle.Multiply by the sine opposite the unknown side.
CalculatorKeep full accuracy, then round the final result.
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