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