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(157) 1

Part of 1987 Tournament Of Towns

Problems(1)

TOT 157 1987 Autumn S1 area of quadrilateral by perpendiculars

Source:

4/19/2020
From vertex AA in square ABCDABCD (of side length 11 ) two lines are drawn , one intersecting side BCBC and the other intersecting side CDCD. The angle between these lines is θ\theta. From vertices BB and DD we construct perpendiculars to each of these lines . Find the area of the quadrilateral whose vertices are the four feet of these perpendiculars.
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