AB = 12 cm BC = 13 cm AC = 25 cm, find the area of the triangle.

univerkov | May 9, 2021 | education

In the task given: AB = 12 cm; BC = 13 cm and AC = 25 cm. It is required to find the area of the triangle ABC.
As you know, in order to find the area of a triangle, you can use various formulas. Before using any formula, you must first find out if there really is a triangle with given sides.
We will use the criterion (sign) of the existence of a triangle, which is associated with the calculation of the semiperimeter in the hope that if it is confirmed that the triangle exists, then in the future it would be possible to calculate the area of the triangle using Heron’s formula.
Any triangle has a semi-perimeter larger than any of its sides. Let’s calculate the semi-perimeter: (12 cm + 13 cm + 25 cm): 2 = (50 cm): 2 = 25 cm.Verification shows that although 12 cm <25 cm and 13 cm <25 cm, the third party does not meet the criterion the existence of a triangle.
A triangle with sides of 12 cm, 13 cm and 25 cm does not exist, therefore, there can be no talk about the area.

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.