About this topic
Before you begin
Use Pythagoras and its converse, then choose sine, cosine or tangent from the sides and acute angle of a right triangle.
Learning goals
- Use and justify Pythagoras’ theorem
- Calculate a hypotenuse from two perpendicular lengths
- Calculate a shorter side from a hypotenuse and another side
- Test the Pythagorean equality using the longest side
- Choose a right-triangle ratio and calculate a side
- Choose a right-triangle ratio and calculate an acute angle
- Calculate a trigonometric height difference and the height from its reference
- Use trigonometric ratios in right-angled triangles
Syllabus statements covered
- Use of Pythagoras’ theorem
- Determining whether a triangle is right-angled given the lengths of three sides
- Use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles (including problems involving angles of elevation and depression)
- Use of Pythagoras’ theorem
- Determining whether a triangle is right-angled given the lengths of three sides
- Use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles (including problems involving angles of elevation and depression)
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