NCERT Exercise 7.3 Q1 - Triangles
Question: ∆ABC and ∆DBC are two isosceles triangles on the same base BC with vertices A and D on the same side of BC (see Fig. 7.39). If AD is extended to intersect BC at P, show that (i) ∆ABD ≅ ∆ACD, (ii) ∆ABP ≅ ∆ACP, (iii) AP bisects ∠A as well as ∠D, (iv) AP is the perpendicular bisector of BC.
Answer: (i) ∆ABD ≅ ∆ACD. (ii) ∆ABP ≅ ∆ACP. (iii) AP bisects ∠A and ∠D. (iv) AP is the perpendicular bisector of BC.
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