Pythagoras Theorem

By the end of this unit, students will be able to:

1. understand the Pythagorean Theorem and its significance in right-angled triangles;
2. apply the theorem to calculate unknown side lengths in right-angled triangles;
3. solve real-world problems involving distances, measurements, and applications of the Pythagorean Theorem.

Curriculum Alignment: Key Stage 4: Geometry and measures

• apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
• use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles