AC9M8M06

See also: Learning Areas / Mathematics / Mathematics / Measurement / Year 8

use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

Elaborations

• AC9M8M06_E1 - discussing 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_E2 - using 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_E3 - recognising the relationship between the squares of lengths of sides for different types of triangles: right-angled, acute or obtuse
• AC9M8M06_E4 - identifying Pythagorean triples, such as (\(3,4,5\)), (\(5,12,13\)), (\(7, 24, 25\)) and (\(8,15, 17\))

Achievement Standard Components

• ASMAT810 - They use Pythagoras’ theorem to solve measurement problems involving unknown lengths of right-angle triangles.