Problem:
Square has sides of length . Segments and divide the square's area into three equal part. How long is segment
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
One-third of the square's area is , so triangle has area . Since side is , side must be . The hypotenuse of this right triangle is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions