AI generatedGeometry and measuresGCSE Higher

Finding an angle from one half

Finding an angle from one half .

  • 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

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.

Example 2

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.

Your turn

Question 1

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.
Question 2

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.
Question 3

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.
Question 4

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.
Question 5

The area is . Angle A is at most 90°. Find A. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Rearrange area = bc sin A.Use the stated angle range to choose the answer.
CalculatorKeep full accuracy, then round the final result.
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