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edexcel Gcse maths math mathematics summary document definitions with examples

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GCSE
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Maths








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Topic/Skill Definition/Tips
Topic: Pythagoras’ Theorem Example
1. Pythagoras’ For any right angled triangle:
Theorem
2 2 2
a + b =c




Used to find missing lengths.
a and b are the shorter sides, c is the
hypotenuse (longest side).
2. 3D Find missing lengths by identifying right Can a pencil that is 20cm long fit in a
Pythagoras’ angled triangles. pencil tin with dimensions 12cm, 13cm
Theorem and 9cm? The pencil tin is in the shape
You will often have to find a missing of a cuboid.
length you are not asked for before finding
the missing length you are asked for. Hypotenuse of the base =
√ 122+13 2=17.7
Diagonal of cuboid =
√ 17.72 +92=19.8 cm
No, the pencil cannot fit.




Mr A. Coleman Glyn School
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