#MeasurementAndSpace #Core >[!info]- [Right-angled triangles (Pythagoras’ theorem) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/facc79fb0a) >- MA4-PYT-C-01 applies Pythagoras’ theorem to solve problems in various contexts ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ---------------------------------- | ------------------------------------------------------- | -------------------------------------------------------------------------------------------- | | [[Fractions Decimals Percentages]] | - irrational numbers<br>- rounding decimals | - writing surds and approximating surds to decimals | | [[Indices]] | - order of operations involving indices and roots | - calculations involving Pythagoras' theorem | | [[Equations]] | - using formulas<br>- solving simple quadratic formulas | - calculations involving Pythagoras' theorem | | [[Length]] | - perimeter | - calculating perimeter of right-angled triangles and composite shapes involving hypotenuses | ## [[Identify and define Pythagoras’ theorem.pdf]] - Identify and describe the hypotenuse as the side opposite the right angle and the longest side in any right-angled triangle - Establish the relationship between the lengths of the sides of a right-angled triangle - Use the relationship to record and define Pythagoras’ theorem both algebraically and in words ## [[Examine problems involving Pythagoras’ theorem.pdf]] - Apply Pythagoras’ theorem to find the unknown length of a side in a right-angled triangle, giving answers in an exact form or as decimal approximations - Apply the converse of Pythagoras’ theorem to establish whether a triangle is right angled - Solve practical problems involving Pythagoras’ theorem before exploring a variety of related problems - Justify whether a set of 3 integers is a Pythagorean triad