Pythagoras (OCR GCSE Maths): Flashcards

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Pythagoras
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Pythagoras' Theorem formula

a2+b2=c2a^2 + b^2 = c^2

What cc represents in Pythagoras' formula

The hypotenuse (longest side)

What aa and bb represent in Pythagoras

The two shorter sides

Definition of hypotenuse

The longest side of a right-angled triangle

Where the hypotenuse is located

Opposite the right angle

Formula to find hypotenuse cc

c=a2+b2c = \sqrt{a^2 + b^2}

Formula to find shorter side aa

a=c2b2a = \sqrt{c^2 - b^2}

When to use c=a2+b2c = \sqrt{a^2 + b^2}

When you know both shorter sides

When to use a=c2b2a = \sqrt{c^2 - b^2}

When you know hypotenuse and one shorter side

Hypotenuse if sides are 5 cm and 12 cm

13 cm

Side if hypotenuse 10 cm, other side 6 cm

8 cm

Key property of the hypotenuse

Always the longest side

Origin of Pythagoras' Theorem

Pythagoras (or followers), around 600 BC

Height reached: 5m ladder, 1.5m from house

4.77 m (to 2 d.p.)

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