# In an isosceles triangle ABC, the segment BD is the median drawn to the base

September 26, 2021 | education

| **In an isosceles triangle ABC, the segment BD is the median drawn to the base. Find the perimeter of triangle ABC if ABD = 12 cm, BD = 4 cm.**

The median divides the base of AC in half, AD = CD = AC / 2.

The perimeter of the triangle ABC is equal to: Ravs = AB + BC + AC = AB + BC + AD + CD = 2 * AB + 2 * AD = 2 * (AB + AD).

The area of the triangle ABD is equal to: Ravd = AB + BD + AD = 12 cm.

(AB + AD) = 12 – BD = 12 – 4 = 8 cm.

Then Ravs = (AB + AD) * 2 = 8 * 2 = 16 cm.

Answer: The perimeter of triangle ABC is 16 cm.

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.