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...
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 Spring '10
 Shirley
 Pythagorean Theorem, Right triangle, Hypotenuse, triangle, B FC FA

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