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The sides are in the ratio 1 : (1/2) : sqrt(3)/2, where sqrt denotes square root.

That these are the ratio of the sides of a right-angled triangle can be confirmed using Pythagoras' theorem:

1*1 = (1/2)*(1/2) + ( sqrt(3)/2 )*( sqrt(3) / 2 ) = ( 1/4 ) + ( 3/4 ) = 1

1/2 is the sine of 30 degrees.

sqrt(3)/2 is the sin of 60 degrees.

Remember this identity, it is very useful.

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Q: What are the measurements of a 30 60 90 triangle?
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