- Draw circle B
- Draw any diameter DC
- Pick any point W
and draw right triangle DCW
- Draw any diameter PQ
- Let the radius = a
- Let AB = c
- Let AC = b
and draw right triangle DCW
Now complete the following proof:
8 | AQ = ____________________ (in terms of a and c) |
9 | |
10 | so, WC = ________________________ | 11 | Then, WA = ______________________ (in terms of a, b, and ) |
12 | Now, recall from geometry that ). Why? _______________________ |
13 | Substituting in step 12, (2a cos C)(b) = ( ) ( ) |
14 | Simplifying step 13 and solving for c2, we obtain c2 = ____________________ |