Above the segments AB and BC we drew a semicircle at each. F1 bisects AB and F2 bisects BC. Above the segments AF2 and F1C we also drew a semicircle at each. Segments PQ and RS touch the corresponding semicircles as shown in the figure. Prove that PQ∥RS and ∣PQ∣=2⋅∣RS∣.
https://cdn.artofproblemsolving.com/attachments/8/2/570e923b91e9e630e3880a014cc6df4dc33aa2.png geometrysemicirclesequal segmentsDurer