A rectangle on a coordinate plane has vertices L(0,6), M(8,6), N(8,0), and O(0,0). What are the dimensions of the rectangle? The
base is 6 and the height is 8. O The base is 8 and the height is 6. O The base is 6 and the height is 6. O The base is 8 and the height is 8.
2 answers:
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I think you mean in terms of ?
Recall Euler's identity
and de Moivre's theorem
where .
It follows that
By the binomial theorem, expanding the right side gives
and so
We can factorize this as
and using the Pythagorean identity
this reduces to