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
© 1996-9 Eric W. Weisstein
1999-05-26