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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. If AD is extended to intersect BC at E, show that(i) ΔABD≅ ΔACD(ii) ΔABE≅ ΔACE(iii) AE bisects ∠A as well as ∠D(iv) AE 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. If AD is extended to intersect BC at E, show that(i) ΔABD≅ ΔACD(ii) ΔABE≅ ΔACE(iii) AE bisects ∠A as well as ∠D(iv) AE is the perpendicular bisector of BC.
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