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Δ ABC and Δ DBC are two isosceles triangles onthe same base BC and vertices A and D are on thesame side of BC (see Fig. 7.39). If AD is extendedto intersect BC at P, show that1,(ii) ABP2 ACP(iii) AP bisects < A as well as D(iv) AP is the perpendicular bisector of BC.

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