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