AC9M8M06
use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles
Elaborations
- AC9M8M06_E1discussing and comparing different applications, demonstrations and proofs of Pythagoras’ theorem, from Egypt and Mesopotamia, Greece, India and China with other historical and contemporary applications and proofs
- AC9M8M06_E2using Pythagoras’ theorem to determine unknown lengths of sides in right-angled triangles and finding lengths of sides of right-angled triangles in practical applications
- AC9M8M06_E3recognising the relationship between the squares of lengths of sides for different types of triangles: right-angled, acute or obtuse
- AC9M8M06_E4identifying Pythagorean triples, such as (3,4,5), (5,12,13), (7, 24, 25) and (8,15, 17)
- AC9M8M06_E5investigating how Pythagoras' theorem can be applied to determine the distance between two points in the plane, and how this can be used by predictive algorithms to navigate autonomous vehicles
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