ACARA AC9M9M03, Trigonometry and Pythagoras

Year 9 · Measurement

Solve spatial problems by applying angle properties, scale, similarity, Pythagoras' theorem and right-angled trigonometry.

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Pythagoras' theorem and trigonometry

Year 9 (ages 14 to 15)

Teaching guide

What students learn

Solve spatial problems by applying angle properties, scale, similarity, Pythagoras' theorem and right-angled trigonometry.

Worked example

A right triangle has legs 9 and 40. Find the hypotenuse.

Answer: 41

Why: sqrt(9^2 + 40^2) = sqrt(81 + 1600) = sqrt(1681) = 41

Generated and checked in code, so it is correct.

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More Year 9 Measurement codes: AC9M9M01 · AC9M9M02 · AC9M9M04 · AC9M9M05

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.