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Infographic Geometry Problem 924: Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations. Level: High School, College, Mathematics Education

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In a quadrilateral ABCD with perpendicular diagonals AC and BD at E (figure below), F is the midpoint of AB and G the midpoint of CD. A circle O passing through F,E,G is tangent to AB at F and CD at G. Circle O cuts AC and BD at H and J, respectively. If FG = 12, find the measure of HJ.

 

Infographic Geometry Problem 924: Quadrilateral, Diagonal, Perpendicular, Circle, Tangent, Midpoint, Metric Relations

 

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