In triangle ABC, angle B is obtuse, AD is bisector. Prove: AD is greater than AB.

In the AED triangle, the ABD angle is obtuse, which means the AED angle> 90.

Since the sum of the inner angles of the triangle is 180, the sum of the inner angles (BAD + BDA) <90, which means that the angle ABD is greater than either of the two inner angles.

In the triangle opposite the larger angle lies a large side, then AD> AB, which was required to be proved.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.