If the acute angles of a right angled triangle have measures 30ᵒ and 60ᵒ then the length of the side opposite to 60ᵒ angles is √

× hypotenuse.

Proof:

AB =

AC ……………….. (…………………)

AB2

+ BC2

= ……………Pythagoras theorem

AC2

+ BC2

= ……….

BC2

= …….. -

AC2

BC2

= …….

BC = ……..

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