This preview shows page 1. Sign up to view the full content.
Unformatted text preview: B , H , and F C . [ Part II ] A H F B and F A H B are vertical angles, so A H F B 2245 F A H B , by the Vertical Angles Theorem. The two angles A F C F B and A H F B both are inscribed in C( diam = AH ) and they intercept the same arc AF B . By a corollary of the Inscribed Angle Theorem, A F C F B 2245 A H F B . Worksheet 8A Solution: Proof of statement (2) in the Problem Problem: It is given that ABC is an acute triagle where F A , F B , and F C are the feet of the altitudes from A, B, and C, resp. It is also given that these three altitudes are concurrent at a point H in the interior of the triangle. To Prove: (1) B F A F C 2245 C F A F B (2) A F C F B 2245 B F C F A (3) C F B F A 2245 A F B F C H F C F B F A F B F C H F A C A B C A B...
View
Full
Document
This note was uploaded on 11/02/2010 for the course MATH modern geo taught by Professor Shirley during the Spring '10 term at University of Texas at Austin.
 Spring '10
 Shirley

Click to edit the document details