The perimeter of a triangle ABC is 15.5 cm Find the lengths of the sides of this triangle if AB

univerkov | August 22, 2021 | education

The perimeter of a triangle ABC is 15.5 cm Find the lengths of the sides of this triangle if AB refers to BC as 3: 5 and BC refers to AC as 2: 3

1. Let X cm be the length of one part.

It is known that AB refers to BC as 3: 5.

Then the length of AB is (3 * X) cm.

BC length is (5 * X) cm.

2. At the same time BC refers to AC as 2: 3.

AC length is (5 * X) / 2 * 3 = (15/2 * X) cm.

3. By the statement of the problem, the perimeter of triangle ABC is 15.5 cm.

We got the equation.

3 * X + 5 * X + 15/2 * X = 15.5.

16/2 * X + 15/2 * X = 15.5.

X * 15.5 = 15.5.

X = 1 cm.

4. Then AB = 3 * 1 = 3 cm.

BC = 5 * 1 = 5 cm.

AC = 15/2 * 1 = 7.5 cm.

Answer: the lengths of the sides of the triangle are 3 cm, 5 cm and 7.5 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.