Angle, Side Length of a Triangle Date: 9/4/96 at 17:19:5 From:
Robert Inman Subject: Angle, Side Length of a Triangle Hi Dr.
Math, What is the relation between the angles of a triangle and
the length of its sides? For example, if I know that a triangle
has a 90 degree angle, I know the length of one leg, and the
angle between that leg and the hypotenuse, how do I determine
the length of the other leg? Date: 9/4/96 at 18:53:10 From:
Doctor Tom Subject: Re: Angle, Side Length of a Triangle Hi
Robert, One simple relation is that the bigger the angle, the
bigger the side opposite it. There's an exact relation called
the "law of sines". Assume that your triangle has sides of
length A, B, and C. Assume also that the angle opposite side A
is a, opposite B is b, and opposite C is c. The law of sines
states: sin a sin b sin c ----- = ----- = ----- A B C
Unfortunately, it uses trigonometry. You can look up the values
of the sines of angles in tables, or using some calculators. The
"law of cosines" is also sometimes val