As shown in the figure, it is known that in the rectangular trapezoid ABCD, BC ‖ ad, ab ⊥ ad, bottom ad = 6, the vertical bisector EF of oblique waist CD intersects ad at g, the extension line of intersection Ba intersects F, and ∠ d = 45 ° to find the length of BF

If ∵ EF bisects CD ∵ CG = DG ∵ d = 45 ∵ GCD = 45 ∵ CGD = 90 ° vertically, then the quadrilateral ABCG is rectangular, so AB = CG = DG ∵ AGF = EGD = 45 ∵ AF = Ag ∵ BF = Ag + GD = ad = 6

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1. In right angle trapezoid ABCD, BC ∥ ad ad ⊥ ad bottom ad = a oblique waist CD, the vertical EF intersects ad at g intersects Ba, and the extension line calculates BF length at f angle d = 45 °
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