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1. AABCADAADBC are two isosceles triangles on
the seme bee BC and vertices A and D are on the
seeside of \( B C ( \sec \text { Fig. } 7.39 \text { ). If AD is extended } \)
wintersed \( B C \) at \( P \) , show that (i) \( \frac { \Delta A B D } { A B P } = \frac { \Delta A C D } { A C P } \)
(a) APbisects \( \angle A \) as well as \( \angle D \) .
(iv) AP is the perpendicular bisector of BC.
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