Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222)

LO: To investigate Pythagoras’ Theorem and solve simple problems with right-angled triangles.


  • the properties of right-angled triangles.


  • That there is a link between the 2 sides of a right-angled triangle to the hypotenuse.


  • I can use Pythagoras’ Theorem to solve simple problems involving right-angled triangles.

Pythagoras’ Theorem

Pythagoras’ Theorem states that when you create squares with the 2 sides of a right-angled triangle (a and b) that it equals to the square created by the hypotenuse (c).

It is a very useful tool in determining unknown lengths in right-angled triangles.

One key piece of information is that sides ‘a’ or ‘b’ can be interchanged, but side ‘c’ is ALWAYS the hypotenuse.

Formula: A squared + B squared = C squared

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