Right-angled geometry - intermediate

This lesson comprises two (2) master classes focusing on:

• Using Pythagoras’ theorem to solve 2D problems
• Using Pythagoras’ theorem to solve 3D problems

Content:

MA4-PYT-C-01

Identify and define Pythagoras’ theorem

• 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

• 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