Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.
Click the figure below to see the problem 747 details.
Thursday, May 3, 2012
Problem 747: Trapezoid, Diagonals, Parallel, Bases, Midpoint, Similarity, Harmonic Mean
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Consider triangle OBA with cevian OE and BC //OE, AD//OE
ReplyDeletePer the result of problem 746 we have OE=a.b/(a+b)
Consider triangle OCD with cevian OF and BC //OF, AD//OF
Per the result of problem 746 we have OF=a.b/(a+b)
So OE=OF and EF= OE+OF= 2a.b/(a+b)