Problem:
Triangle  is an isosceles triangle with . Point  is the midpoint of both  and , and  is  units long. Triangle  is congruent to triangle . What is the length of 
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Answer Choices:
A.  
B.  
C.  
D.  
E.  
Solution:
Because triangles and are congruent and triangle is isosceles, . That means or .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions