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ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that(i) ΔABD ≅ ΔACD(ii) ΔABP ≅ ΔACP(iii) AP bisects ∠A as well as ∠D.(iv) AP is the perpendicular bisector of BC. |
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Answer» ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that (i) ΔABD ≅ ΔACD (ii) ΔABP ≅ ΔACP (iii) AP bisects ∠A as well as ∠D. (iv) AP is the perpendicular bisector of BC.
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