Given a Right Triangle with angles defined to be and , it must be true that

(1) 
so
. Define the hypotenuse to have length and the side opposite to have length , then the
side opposite has length . This gives
and

(2) 
But

(3) 
so we have

(4) 
This gives , or

(5) 
is then computed from

(6) 
Summarizing,
See also Hexagon, Hexagram
© 19969 Eric W. Weisstein
19990526