Pythagoras’ Theorem (VCE SSCE General Mathematics): Flashcards

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Pythagoras' Theorem
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Hypotenuse in a right-angled triangle

Longest side opposite the right angle

Pythagoras' theorem formula

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

In a2+b2=c2a^2 + b^2 = c^2, what does cc represent?

Length of the hypotenuse

In a2+b2=c2a^2 + b^2 = c^2, what do aa and bb represent?

Lengths of the other two sides

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}

Add or subtract when finding hypotenuse?

Add the squares

Add or subtract when finding shorter side?

Subtract the squares

Space diagonal formula for rectangular box

a2+b2+c2\sqrt{a^2 + b^2 + c^2}

Definition of a plane in 3D geometry

A flat surface

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