# In triangle ABC, angle A = angle C = 45 degrees Prove that the median BD divides triangle ABC

September 28, 2021 | education

| **In triangle ABC, angle A = angle C = 45 degrees Prove that the median BD divides triangle ABC into two equal triangles**

Since, by condition, BAC = BCA = 45, then the triangle ABC is isosceles, AB = BC.

BD is the median of the triangle, then AD = CD.

Side ВD in triangles ABD and ВСD is common, then triangles ABD and ВСD are equal on three sides, 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.