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A B C\ a n d\ D B C are two isosceles ...

` A B C\ a n d\ D B C` are two isosceles triangles on the same bas `B C` and vertices `A\ a n d\ D` are on the same side of `B C` . If `A D` is extended to intersect `B C` at `P ,` show that `A P` bisects `"\ "/_A` as well as `/_D` `A P` is the perpendicular bisector of `B C`

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