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Geometry Problem 59: Proving the Relationship Between Midpoints and Side Lengths in a Right Triangle and Equilateral Triangle Configuration


In the figure below, ABC is a right triangle, and BDC is an equilateral triangle. E and F are the midpoints of AC and BD, respectively. Prove that x = a/2.



"Geometry's wonders on display,
Right triangle and equilateral play,
Midpoints E and F in sway,
Proving x equals "a" over two today."


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Last updated: Sep 5, 2014

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