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Ratio between sides of a right-angled triangle

Aim

The aim of this activity is to study the relationship between angle and sides of a right-angled triangle.

Activity 1 instruction

Drag the point A or point B may change the length of the side of right-angled triangle ABC. The data is recorded in the spreadsheet below.

Activity 2 instruction

Drag the hangle of the slider will change angle A. Repeat activity 1 for other angle.

What do you notice?

If the angle A is fixed and you change the length of any side, will the ratio AB : BC : AC change?

Select all that apply
  • A
  • B
Check my answer (3)

Explain why.

If angle A is double, will the ratio of AB : BC double?

Select all that apply
  • A
  • B
Check my answer (3)

Explain.