In the triangle ABC, the points P and O are the midpoints of the sides AC and AB, respectively AB = 14 BC = 18

univerkov | July 11, 2021 | education

In the triangle ABC, the points P and O are the midpoints of the sides AC and AB, respectively AB = 14 BC = 18 AC = 16 find the perimeter of the triangle AOP.

1. According to the problem statement, the points P and O are the midpoints of the sides AC and AB of the given triangle ABC. Therefore, AР = 1/2 AC = 16: 2 = 8 units.

AO = 1/2 AB = 14: 2 = 7 units.

2. The segment РO is the middle line.

According to the properties of the middle line, PO = 1 / 2BC = 18: 2 = 9 units.

3. Calculate the total length of all sides of the triangle AOP (perimeter P):

P = 8 + 7 + 9 = 24 units.

Answer: The total length of the sides of the AOP triangle (perimeter) is 24 units.

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.