Pythagoras' theorem

Pythagoras' theorem

Pythagoras' theorem

Pythagoras' theorem connects the lengths of two sides of a right-angled triangle with the length of the third side. It only works with right-angled triangles.

Pythagoras' theorem is
r2 = x2 + y2
Where r is always the side opposite the right angle,
and x and y are the other two sides.

Phythagoras' theorem can be rearranged to find any of the three sides of a triangle. Remember that the length is not r2 but it is r (i.e. don't forget to root the answer).

Shape and Space

3D shapes

3D shapes

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Area

Area

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Circle theorems

Circle theorems

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Congruency

Congruency

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Coordinates

Coordinates

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Loci

Loci