Choose a spatial method
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Log in to continueCombine angle facts, similarity, scale, Pythagoras and right-triangle trigonometry.
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A right triangle has perpendicular legs 3 m and 4 m. Find its hypotenuse.
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Answer: 5 m
- The hypotenuse is opposite the right angle.
- c² = 3² + 4².
- c = 5 m.
- 9 + 16 = 25.
- √(25) = 5.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Combine angle facts, similarity, scale, Pythagoras and right-triangle trigonometry.
Read the official VCAA curriculum description (VC2M9M03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9M03-C01Apply Pythagoras to the two perpendicular legs.
- VC2M9M03-C02Combine angle, similarity, ratio and scale reasoning in a construction.
- VC2M9M03-C03Choose sine, cosine or tangent from the available sides.
- VC2M9M03-C04Solve a complete practical spatial problem and evaluate assumptions.
- VC2M9M03-C05Apply and explain choose a spatial method using read and connect representations.
- VC2M9M03-C06Apply and explain choose a spatial method using calculate and explain each step.
- VC2M9M03-C07Apply and explain choose a spatial method using build and check a model.
- VC2M9M03-C08Apply and explain choose a spatial method using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Lengths from right anglesApply Pythagoras to the two perpendicular legs.
- D02An angle and one lengthChoose sine, cosine or tangent from the available sides.
- D03Read and connect representationsApply and explain choose a spatial method using read and connect representations.
- D04Calculate and explain each stepApply and explain choose a spatial method using calculate and explain each step.
- D05Build and check a modelApply and explain choose a spatial method using build and check a model.
- D06Work backwards from what is knownApply and explain choose a spatial method using work backwards from what is known.