AI generatedGeometry and measuresGCSE Higher

Finding a side from one half

Finding a side 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 triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Use the angle between the two sides.Divide by the full coefficient of .

Example 2

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Use the angle between the two sides.Divide by the full coefficient of .

Your turn

Question 1

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use the angle between the two sides.Divide by the full coefficient of .
Question 2

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use the angle between the two sides.Divide by the full coefficient of .
Question 3

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use the angle between the two sides.Divide by the full coefficient of .
Question 4

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use the angle between the two sides.Divide by the full coefficient of .
Question 5

The triangle has area . Find side .

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use the angle between the two sides.Divide by the full coefficient of .