Triangle inscribed on circle proof I am missing something

AI Thread Summary
The discussion revolves around proving that line AE is an altitude in a triangle inscribed in a circle. The user is attempting to use properties of congruent triangles and supplementary angles but feels stuck, particularly needing clarification on whether point E is the midpoint of segment BC. They suggest that drawing lines OB and OC could help establish similar triangles for the proof. Additionally, they inquire about the relationship between a perpendicular bisector of a secant and the center of the circle. The conversation highlights the need for clear definitions and geometric properties to complete the proof.
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Triangle inscribed on circle proof...I am missing something :(

Homework Statement


I have provided a link to the problem below
http://imageshack.us/a/img854/4143/photo1lsd.jpg

I need to prove AE is an altitude on this proof

Homework Equations


all radii are congruent, cpctc, ASA, congruent supplementary angles are right angles


The Attempt at a Solution



I know that I need to draw in lines OB and OC for use in similar triangles and that once congruence is proven I can quickly show the supplementary angles are congruent and thus AE is an altitude.. I feel like this needs additional information saying E is the midpoint of BC...hence me being stuck. Any help would be appreciated.
 
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Do you know, or can you prove, that any perpendicular bisector of a secant to a circle goes through the center of the circle?
 

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