In the triangle ABC the point D lies on the side BC and point E on the side AB

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SUMMARY

In triangle ABC, with point D on side BC and point E on side AB, the conditions BD = AC, AD = AE, and AB² = AC * BC are established. These conditions lead to the conclusion that the angles ∠BAD and ∠CEA are equal. This geometric relationship is crucial for understanding angle congruence in triangles and can be proven using properties of similar triangles and the Law of Cosines.

PREREQUISITES
  • Understanding of triangle properties and congruence
  • Familiarity with the Law of Cosines
  • Knowledge of angle relationships in geometry
  • Basic skills in geometric proofs
NEXT STEPS
  • Study the Law of Cosines in detail
  • Explore properties of similar triangles
  • Learn about angle bisectors and their properties
  • Practice geometric proof techniques
USEFUL FOR

Students studying geometry, mathematics educators, and anyone interested in advanced triangle properties and geometric proofs.

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In the triangle ABC the point D lies on the side BC and point E on the side AB. BD = AC, AD = AE and AB ^ 2 = AC * BC. Show that \angle BAD = \angle CEAView attachment 4777
 

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